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1

Vickers, Steven. "Sublocales in formal topology." Journal of Symbolic Logic 72, no. 2 (2007): 463–82. http://dx.doi.org/10.2178/jsl/1185803619.

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AbstractThe paper studies how the localic notion of sublocale transfers to formal topology. For any formal topology (not necessarily with positivity predicate) we define a sublocale to be a cover relation that includes that of the formal topology. The family of sublocales has set-indexed joins. For each set of base elements there are corresponding open and closed sublocales, boolean complements of each other. They generate a boolean algebra amongst the sublocales. In the case of an inductively generated formal topology, the collection of inductively generated sublocales has coframe structure.O
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2

Plewe, Till. "Sublocale lattices." Journal of Pure and Applied Algebra 168, no. 2-3 (2002): 309–26. http://dx.doi.org/10.1016/s0022-4049(01)00100-1.

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3

Jorge, Picado, and Pultr Aleš. "Axiom $T_D$ and the Simmons sublocale theorem." Commentationes Mathematicae Universitatis Carolinae 60, no. 4 (2020): 541–51. http://dx.doi.org/10.14712/1213-7243.2019.030.

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4

Escardó, Martín. "Injective locales over perfect embeddings and algebras of the upper powerlocale monad." Applied General Topology 4, no. 1 (2003): 193. http://dx.doi.org/10.4995/agt.2003.2018.

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<p>We show that the locales which are injective over perfect sublocale embeddings coincide with the underlying objects of the algebras of the upper powerlocale monad, and we characterize them as those whose frames of opens enjoy a property analogous to stable supercontinuity.</p>
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5

Baboolal, Dharmanand, and Paranjothi Pillay. "Irreducible locales." Filomat 32, no. 10 (2018): 3443–53. http://dx.doi.org/10.2298/fil1810443b.

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Basic properties of irreducible locales which extend results contained in [4] are presented. Our main result is that every locale L can be embedded as a closed nowhere dense sublocale of an irreducible locale IL, what we call the irreducible envelope of L. The properties of spatiality, subfitness, fitness, compactness, and the Noetherian property are shown to be inherited and reflected by the irreducible envelope.
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6

Paseka, Jan. "Paracompact locales and metric spaces." Mathematical Proceedings of the Cambridge Philosophical Society 110, no. 2 (1991): 251–56. http://dx.doi.org/10.1017/s0305004100070328.

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This paper deals with the category of paracompact locales (‘pointless topologies’), defined in the classic paper [6] of Isbell. A full discussion concerning paracompact locales can be found in Dowker and Strauss[2] and in Pultr[10, 11]. We shall provide a description of paracompact Tychonoff locales by means of a system of suitably chosen metric spaces. This answers Pultr's question whether each paracompact Tychonoff locale is a closed sublocale of a (localic) product of metric spaces.
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7

Dube, Themba, and Oghenetega Ighedo. "More on locales in which every open sublocale is z-embedded." Topology and its Applications 201 (March 2016): 110–23. http://dx.doi.org/10.1016/j.topol.2015.12.030.

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8

Dube, Themba, and Lindiwe Sithole. "On the sublocale of an algebraic frame induced by the d-nucleus." Topology and its Applications 263 (August 2019): 90–106. http://dx.doi.org/10.1016/j.topol.2019.05.020.

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9

Madden, J., and J. Vermeer. "Lindelöf locales and realcompactness." Mathematical Proceedings of the Cambridge Philosophical Society 99, no. 3 (1986): 473–80. http://dx.doi.org/10.1017/s0305004100064410.

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We show that a locale possesses the localic analogue of the property of realcompactness if and only if it is regular Lindelöf. Thus, the localic version of the Hewitt real-compactification, originally defined by G.Reynolds using σ-frames, is the regular Lindelöf reflection. An immediate consequence is that a space is realcompact if and only if it is the point space of a regular Lindelöf local (3·2). We point out a nice analogy between a theorem of Reynolds and Stone's classical representation theorem for boolean algebras. Finally, we show that the quasi-F cover of a compact Hausdorff space is
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10

Towers, Craig V., and Heather Deisher. "Subcutaneous Extended-Release Buprenorphine Use in Pregnancy." Case Reports in Obstetrics and Gynecology 2020 (July 17, 2020): 1–3. http://dx.doi.org/10.1155/2020/3127676.

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Background. Opioid use disorder (OUD) in pregnancy is managed by medication-assisted treatment. Sublingual buprenorphine is one option, but subcutaneous extended-release buprenorphine (Sublocade®) is an alternate form administered in monthly injections. Through an extensive literature search, we did not find any prior publication on the use of Sublocade in pregnancy. Case. Two patients with OUD switched from sublingual buprenorphine to Sublocade. One patient received a total of eight injections and then discovered she was pregnant. Based on ultrasound dating, the last 5 administrations occurre
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11

Lu, Tao, Wei He, and Xijuan Wang. "Meets of spatial sublocales." Bulletin of the Belgian Mathematical Society - Simon Stevin 17, no. 2 (2010): 243–50. http://dx.doi.org/10.36045/bbms/1274896203.

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12

Spitters, Bas. "Locatedness and overt sublocales." Annals of Pure and Applied Logic 162, no. 1 (2010): 36–54. http://dx.doi.org/10.1016/j.apal.2010.07.002.

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13

Simpson, Alex. "Measure, randomness and sublocales." Annals of Pure and Applied Logic 163, no. 11 (2012): 1642–59. http://dx.doi.org/10.1016/j.apal.2011.12.014.

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14

Dube, Themba. "A note on weakly pseudocompact locales." Applied General Topology 18, no. 1 (2017): 131. http://dx.doi.org/10.4995/agt.2017.6644.

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<p>We revisit weak pseudocompactness in pointfree topology, and show that a locale is weakly pseudocompact if and only if it is Gδ-dense in some compactification. This localic approach (in contrast with the earlier frame-theoretic one) enables us to show that finite localic products of locales whose non-void Gδ-sublocales are spatial inherit weak pseudocompactness from the factors. We also show that if a locale is weakly pseudocompact and its Gδ-sublocales are complemented then it is Baire.</p>
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15

Bunge, M., and J. funk. "Constructive theory of the lower power locale." Mathematical Structures in Computer Science 6, no. 1 (1996): 69–83. http://dx.doi.org/10.1017/s0960129500000876.

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This paper considers two main aspects of the lower power locale PL(X): first, its relation to the symmetric topos construction of Bunge and Carboni; and second, its points, which, it is shown, are equivalent to the weakly closed sublocales of X with open domain. This is done as part of a more general discussion of arbitrary weakly closed sublocales, including a new characterization using suplattice homomorphisms from o(X) to Sub(1), and a new proof of a theorem of Jibladze relating them to Ω-nuclei.
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16

Knopf, Alison. "Sublocade: Why a placebo arm?" Alcoholism & Drug Abuse Weekly 31, no. 10 (2019): 4–5. http://dx.doi.org/10.1002/adaw.32287.

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17

Johnstone, P. T. "Complemented sublocales and open maps." Annals of Pure and Applied Logic 137, no. 1-3 (2006): 240–55. http://dx.doi.org/10.1016/j.apal.2005.05.030.

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18

Niefield, S. B., and K. I. Rosenthal. "Spatial sublocales and essential primes." Topology and its Applications 26, no. 3 (1987): 263–69. http://dx.doi.org/10.1016/0166-8641(87)90046-0.

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19

Dube, Themba. "Concerning P-Sublocales and Disconnectivity." Applied Categorical Structures 27, no. 4 (2019): 365–83. http://dx.doi.org/10.1007/s10485-019-09559-9.

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20

Liu, Yingming, and Maokang Luo. "T D property and spatial sublocales." Acta Mathematica Sinica 11, no. 3 (1995): 324–36. http://dx.doi.org/10.1007/bf02265398.

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21

Clementino, Maria Manuel, Jorge Picado, and Aleš Pultr. "The Other Closure and Complete Sublocales." Applied Categorical Structures 26, no. 5 (2018): 891–906. http://dx.doi.org/10.1007/s10485-018-9516-4.

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22

Knopf, Alison. "Sublocade trial data published: Better than placebo." Alcoholism & Drug Abuse Weekly 31, no. 8 (2019): 4. http://dx.doi.org/10.1002/adaw.32270.

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23

Knopf, Alison. "FDA relents on Brixadi, competitor to Sublocade." Alcoholism & Drug Abuse Weekly 31, no. 44 (2019): 4–5. http://dx.doi.org/10.1002/adaw.32541.

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24

Ball, R. N., M. A. Moshier, and A. Pultr. "Exact Filters and Joins of Closed Sublocales." Applied Categorical Structures 28, no. 4 (2020): 655–67. http://dx.doi.org/10.1007/s10485-020-09593-y.

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25

Suarez, Anna Laura. "On the relation between subspaces and sublocales." Journal of Pure and Applied Algebra 226, no. 2 (2022): 106851. http://dx.doi.org/10.1016/j.jpaa.2021.106851.

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26

Baboolal, Dharmanand, Jorge Picado, Paranjothi Pillay, and Aleš Pultr. "Hewitt’s irresolvability and induced Sublocales in spatial frames." Quaestiones Mathematicae 43, no. 11 (2019): 1601–12. http://dx.doi.org/10.2989/16073606.2019.1646832.

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27

Knopf, Alison. "Sublocade improves abstinence and quality of life outcomes." Alcoholism & Drug Abuse Weekly 32, no. 27 (2020): 4–5. http://dx.doi.org/10.1002/adaw.32772.

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28

Clementino, Maria Manuel, Jorge Picado, and Aleš Pultr. "Correction to: The Other Closure and Complete Sublocales." Applied Categorical Structures 26, no. 5 (2018): 907–8. http://dx.doi.org/10.1007/s10485-018-9533-3.

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29

Buček, Ján. "Sublocal Decentralisation—The Case of Slovak Big Cities." Environment and Planning C: Government and Policy 18, no. 1 (2000): 57–78. http://dx.doi.org/10.1068/c9872.

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By means of case studies of Slovak cities, the author focuses on decentralisation processes at the local level, paying special attention to the role of local self-government during the transformation period in Central and Eastern Europe. Four main directions of sublocal decentralisation are considered: political decentralisation, managerial decentralisation, decentralisation to the so-called ‘third sector’, and decentralisation to the private or mixed sector. Cities have constituted ‘Councils in City Quarters’ as a tool for the improvement of local democracy and as an aid to more flexible loca
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30

Johnstone, P. T. "Fibrewise separation axioms for locales." Mathematical Proceedings of the Cambridge Philosophical Society 108, no. 2 (1990): 247–56. http://dx.doi.org/10.1017/s0305004100069115.

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AbstractIn this paper we study the weak versions of the fibrewise separation axioms for locales over a base locale, whose introduction has been made possible by the development, in a previous paper by the author, of the fibrewise notion of closure for sublocales of locales over a base. We establish the implications which hold between these axioms and the traditional separation axioms for locales, and give counter-examples to show that some of these implications are irreversible.
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31

Soyka, Michael. "Novel Long-Acting Buprenorphine Medications for Opioid Dependence: Current Update." Pharmacopsychiatry 54, no. 01 (2020): 18–22. http://dx.doi.org/10.1055/a-1298-4508.

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AbstractOpioid maintenance treatment with oral methadone or sublingual buprenorphine is the first-line treatment in opioid dependence. Three novel long-acting buprenorphine formulations have been approved or will be available soon: for subcutaneous weekly and monthly application, the depot formulations CAM 2038 (Buvidal®), the monthly depot formulation RBP-6000 (Sublocade™), and a 6-month buprenorphine implant (Probuphine™). Clinical data available so far on the efficacy of these 3 medications are given, and possible clinical implications are discussed.
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32

Soyka, Michael. "Langwirksame Buprenorphinpräparate als neue pharmakologische Option bei Opiatabhängigkeit." Suchttherapie 21, no. 01 (2019): 13–18. http://dx.doi.org/10.1055/a-1064-6188.

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ZusammenfassungDie Opioidsubstitution mit Methadon (oral) oder Buprenorphin (sublingual) ist eine etablierte weltweit praktizierte First-Line-Behandlung der Opiatabhängigkeit. Beide Substanzen müssen täglich oder zumindest alle 2 Tage (Buprenorphin) gegeben werden. Langwirksame Opioide standen zur Substitution nicht zur Verfügung. Das ändert sich jetzt mit dem bereits zugelassenen, wöchentlich oder monatlich subkutan injizierbaren Buprenorphin Depot CAM 2038 (Buvidal®), dem monatlich zu applizierenden Depotpräparat RBP-6000 (Sublocade™) und dem 6-Monate wirkenden Buprenorphin Depot-Implantat (
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33

Dube, Themba, and Dorca Nyamusi Stephen. "On ideals of rings of continuous functions associated with sublocales." Topology and its Applications 284 (October 2020): 107360. http://dx.doi.org/10.1016/j.topol.2020.107360.

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34

Moshier, M. Andrew, Jorge Picado, and Aleš Pultr. "Generating sublocales by subsets and relations: a tangle of adjunctions." Algebra universalis 78, no. 1 (2017): 105–18. http://dx.doi.org/10.1007/s00012-017-0446-z.

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35

Arrieta, Igor, and Anna Laura Suarez. "The coframe of D-sublocales of a locale and the T-duality." Topology and its Applications 291 (March 2021): 107614. http://dx.doi.org/10.1016/j.topol.2021.107614.

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36

FEARNLEY-SANDER, DESMOND, and TIM STOKES. "VARIETIES OF EQUALITY STRUCTURES." International Journal of Algebra and Computation 13, no. 04 (2003): 463–80. http://dx.doi.org/10.1142/s021819670300147x.

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We consider universal algebras which are monoids and which have a binary operation we call internalized equality, satisfying some natural conditions. We show that the class of such E-structures has a characterization in terms of a distinguished submonoid which is a semilattice. Some important varieties (and variety-like classes) of E-structures are considered, including E-semilattices (which we represent in terms of topological spaces), E-rings (which we show are equivalent to rings with a generalized interior operation), E-quantales (where internalized equalities on a fixed quantale in which
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37

Avilez, Ana Belén, and Jorge Picado. "Continuous extensions of real functions on arbitrary sublocales and C-, C⁎-, and z-embeddings." Journal of Pure and Applied Algebra 225, no. 10 (2021): 106702. http://dx.doi.org/10.1016/j.jpaa.2021.106702.

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38

Khrushchov, D. P., V. Ye Goncharov, V. V. Makogon, and A. A. Loktiev. "Methodology of information support of studies and works on different-scale forecasting oil and gas fields." Мінеральні ресурси України, no. 3 (November 12, 2020): 24–32. http://dx.doi.org/10.31996/mru.2020.3.24-32.

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The generalized statement of theoretical principles of information support of R&D on forecasting and development of oil and gas fields of various geological and genetic types corresponding to modern challenges of objective factors of growth of technical complexity and geological prospecting, exploration and operational works cost is presented.
 The main working tool is a targeted multi-scale information modeling of promising geological objects, based on the general theoretical scheme of forecast-paleoreconstructive retrospective-static model with the introduction of the concept of for
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39

Blanco, Ismael, and Margarita León. "Social innovation, reciprocity and contentious politics: Facing the socio-urban crisis in Ciutat Meridiana, Barcelona." Urban Studies 54, no. 9 (2016): 2172–88. http://dx.doi.org/10.1177/0042098016659044.

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Taking one of the poorest neighbourhoods in Barcelona as a paradigmatic case, the aim of this paper is to explore the ways in which contestation organised by sublocal grassroots movements in the context of the current urban crisis operates, both in terms of content and form of protest. Our thesis is that resident mobilisation in the neighbourhood of Ciutat Meridiana is expressive of a new cycle of (urban) social mobilisations in Spanish cities. In such mobilisations, more or less spontaneous initiatives which emerged to counteract the effects of the crisis at the community level are simultaneo
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40

Anderson, D. D., Ahmed Hamed, and Muhammad Zafrullah. "On S-GCD domains." Journal of Algebra and Its Applications 18, no. 04 (2019): 1950067. http://dx.doi.org/10.1142/s0219498819500671.

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Let [Formula: see text] be a multiplicative set in an integral domain [Formula: see text]. A nonzero ideal [Formula: see text] of [Formula: see text] is said to be [Formula: see text]-[Formula: see text]-principal if there exist an [Formula: see text] and [Formula: see text] such that [Formula: see text]. Call [Formula: see text] an [Formula: see text]-GCD domain if each finitely generated nonzero ideal of [Formula: see text] is [Formula: see text]-[Formula: see text]-principal. This notion was introduced in [A. Hamed and S. Hizem, On the class group and [Formula: see text]-class group of form
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41

Mahi, Benedictus Raksaka, and Syarah Siti Supriyanti. "Dampak Desentralisasi Fiskal terhadap Volatilitas Belanja Pemerintah Kabupaten/Kota di Indonesia." Jurnal Ekonomi dan Pembangunan Indonesia 19, no. 1 (2019): 118–38. http://dx.doi.org/10.21002/jepi.v19i1.879.

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The volatility of expenditures sub-local derived from central government transparency in transfers to local governments may aggravate sublocal economy. This study aims to analyze the eect of fiscal decentralization to the level of volatility of local government spending in 230 sub-local in Indonesia. We use two periods, before and after the implementation of Law No. 28 Year 2009. The regression results indicate that the volatility of local government spending may decrease if the degree of fiscal decentralization increases, especially at the time when districts implement that law. As responsive
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42

Lehnert, Michal, Miroslav Vysoudil, and Petr Kladivo. "Semi-stationary measurement as a tool to refine understanding of the soil temperature spatial variability." International Agrophysics 29, no. 4 (2015): 449–57. http://dx.doi.org/10.1515/intag-2015-0038.

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AbstractUsing data obtained by soil temperature measurement at stations in the Metropolitan Station Network in Olomouc, extensive semi-stationary measurement was implemented to study the spatial variability of the soil temperature. With the development of the research and computer technology, the study of the temperature is not limited by the complexity of the processes determining the soil temperature, but by the lack of spatial data. This study presents simple semi-stationary soil temperature measurement methods, which can contribute to the study of the spatial variability of soil temperatur
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43

"Sublocade." Journal of Addictions Nursing 29, no. 2 (2018): 139–40. http://dx.doi.org/10.1097/jan.0000000000000223.

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44

"SUBLOCADE Rapid Initiation Study." Case Medical Research, June 20, 2019. http://dx.doi.org/10.31525/ct1-nct03993392.

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45

Dube, Themba, and Dorca Nyamusi Stephen. "Mapping Ideals to Sublocales." Applied Categorical Structures, March 3, 2021. http://dx.doi.org/10.1007/s10485-021-09634-0.

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46

Dube, Themba. "Characterizing realcompact locales via remainders." Georgian Mathematical Journal, May 16, 2019. http://dx.doi.org/10.1515/gmj-2019-2027.

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Abstract We prove that a completely regular locale L is realcompact if and only if the “remainder” {\beta L\smallsetminus L} is the join of the zero-sublocales of {\beta L} that miss L. This extends a result of Mrówka which characterizes realcompact spaces in terms of their remainders in Stone–Čech compactifications. We prove that {\beta L\smallsetminus L} is Lindelöf if and only if L is of countable type, where the latter is defined for locales exactly as for spaces, subject to replacing subspaces with sublocales.
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47

"SUBLOCADE Rapid Initiation Extension Study." Case Medical Research, August 19, 2019. http://dx.doi.org/10.31525/ct1-nct04060654.

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48

Palmgren. "Open sublocales of localic completions." Journal of Logic and Analysis, 2010. http://dx.doi.org/10.4115/jla.2010.2.1.

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49

"Brixadi, Sublocade competitor, resubmits application to FDA." Alcoholism & Drug Abuse Weekly 33, no. 25 (2021): 8. http://dx.doi.org/10.1002/adaw.33116.

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50

Ighedo, Oghenetega, and Martin M. Mugochi. "Locales whose coz-complemented cozero sublocales have open closures." Algebra universalis 81, no. 2 (2020). http://dx.doi.org/10.1007/s00012-020-00655-9.

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