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Journal articles on the topic 'Erdős'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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1

Torrence, Bruce, and Ron Graham. "The 100th Birthday of Paul Erdős/Remembering Erdős." Math Horizons 20, no. 4 (April 2013): 10–12. http://dx.doi.org/10.4169/mathhorizons.20.4.10.

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2

Zaragoza, Alfredo. "Symmetric products of Erdős space and complete Erdős space." Topology and its Applications 284 (October 2020): 107355. http://dx.doi.org/10.1016/j.topol.2020.107355.

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3

Balister, P., B. Bollobás, R. Morris, J. Sahasrabudhe, and M. Tiba. "Erdős covering systems." Acta Mathematica Hungarica 161, no. 2 (June 30, 2020): 540–49. http://dx.doi.org/10.1007/s10474-020-01048-z.

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4

Ault, Shaun V., and Benjamin Shemmer. "Erdős-Szekeres Tableaux." Order 31, no. 3 (October 17, 2013): 391–402. http://dx.doi.org/10.1007/s11083-013-9308-2.

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5

Mubayi, Dhruv. "Variants of the Erdős–Szekeres and Erdős–Hajnal Ramsey problems." European Journal of Combinatorics 62 (May 2017): 197–205. http://dx.doi.org/10.1016/j.ejc.2016.12.007.

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6

Kapus, Erika. "Menyhért, Anna. 2016: Egy szabad nő, Erdős Renée regényes élete (‘A Free Woman, The Remarkable Life of Renée Erdős’). Budapest: General Press. 231 pp. Illus." Hungarian Cultural Studies 10 (September 6, 2017): 213–16. http://dx.doi.org/10.5195/ahea.2017.304.

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7

Bara, Zoltán. "Erdős Tibor kilencvenedik születésnapjára." Közgazdasági Szemle 65, no. 4 (April 16, 2018): 341–45. http://dx.doi.org/10.18414/ksz.2018.4.341.

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8

KANAMORI, AKIHIRO. "ERDŐS AND SET THEORY." Bulletin of Symbolic Logic 20, no. 4 (December 2014): 449–90. http://dx.doi.org/10.1017/bsl.2014.38.

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Paul Erdős (26 March 1913—20 September 1996) was a mathematicianpar excellencewhose results and initiatives have had a large impact and made a strong imprint on the doing of and thinking about mathematics. A mathematician of alacrity, detail, and collaboration, Erdős in his six decades of work moved and thought quickly, entertained increasingly many parameters, and wrote over 1500 articles, the majority with others. Hismodus operandiwas to drive mathematics through cycles of problem, proof, and conjecture, ceaselessly progressing and ever reaching, and hismodus vivendiwas to be itinerant in the world, stimulating and interacting about mathematics at every port and capital.
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9

Norin, Sergey, and Yelena Yuditsky. "Erdős–Szekeres Without Induction." Discrete & Computational Geometry 55, no. 4 (April 5, 2016): 963–71. http://dx.doi.org/10.1007/s00454-016-9778-2.

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10

Faudree, Ralph. "A Conjecture of Erdős." American Mathematical Monthly 105, no. 5 (May 1998): 451–53. http://dx.doi.org/10.1080/00029890.1998.12004908.

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11

Alexanderson, G. L. "Paul Erdős, 1913–1996." Mathematics Magazine 69, no. 5 (December 1996): 395–96. http://dx.doi.org/10.1080/0025570x.1996.11996487.

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12

Dijkstra, Jan J., and Dave Visser. "On generalized Erdős spaces." Topology and its Applications 155, no. 4 (January 2008): 233–51. http://dx.doi.org/10.1016/j.topol.2007.05.016.

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13

Ruzsa, Imre Z. "Erdős and the Integers." Journal of Number Theory 79, no. 1 (November 1999): 115–63. http://dx.doi.org/10.1006/jnth.1999.2395.

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14

Dijkstra, Jan J., and Jan van Mill. "Characterizing Complete Erdős Space." Canadian Journal of Mathematics 61, no. 1 (February 1, 2009): 124–40. http://dx.doi.org/10.4153/cjm-2009-006-6.

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Abstract. The space now known as complete Erdős space was introduced by Paul Erdős in 1940 as the closed subspace of the Hilbert space ℓ2 consisting of all vectors such that every coordinate is in the convergent sequence ﹛0﹜ ∪ ﹛1/n : n ∈ℕ﹜. In a solution to a problem posed by Lex G. Oversteegen we present simple and useful topological characterizations of . As an application we determine the class of factors of . In another application we determine precisely which of the spaces that can be constructed in the Banach spaces ℓp according to the ‘Erdős method’ are homeomorphic to . A novel application states that if I is a Polishable Fσ-ideal on ω, then I with the Polish topology is homeomorphic to either ℤ, the Cantor set 2ω, ℤ × 2ω, or . This last result answers a question that was asked by Stevo Todorčević.
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15

Bollobás, Béla. "Paul Erdős (1913–96)." Nature 383, no. 6601 (October 1996): 584. http://dx.doi.org/10.1038/383584a0.

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16

Babai, Laszlo. "Paul Erdős (1913–1996)." ACM SIGACT News 27, no. 4 (December 1996): 62–65. http://dx.doi.org/10.1145/242581.242586.

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17

Liebenau, Anita, Marcin Pilipczuk, Paul Seymour, and Sophie Spirkl. "Caterpillars in Erdős–Hajnal." Journal of Combinatorial Theory, Series B 136 (May 2019): 33–43. http://dx.doi.org/10.1016/j.jctb.2018.09.002.

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18

Sapozhenko, Alexander A. "The Cameron–Erdős conjecture." Discrete Mathematics 308, no. 19 (October 2008): 4361–69. http://dx.doi.org/10.1016/j.disc.2007.08.103.

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19

Forster, Thomas. "Erdős-Rado without choice." Journal of Symbolic Logic 72, no. 3 (September 2007): 897–900. http://dx.doi.org/10.2178/jsl/1191333846.

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AbstractA version of the Erdős-Rado theorem on partitions of the unordered n-tuples from uncountable sets is proved, without using the axiom of choice. The case with exponent 1 is just the Sierpinski-Hartogs' result that .
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20

Ördög, Rafael, Dániel Bánky, Balázs Szerencsi, Péter Juhász, and Vince Grolmusz. "The Erdős webgraph server." Discrete Applied Mathematics 167 (April 2014): 315–17. http://dx.doi.org/10.1016/j.dam.2013.10.032.

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21

Spencer, Joel. "From Erdős to algorithms." Discrete Mathematics 136, no. 1-3 (December 1994): 295–307. http://dx.doi.org/10.1016/0012-365x(93)e0117-m.

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22

Lefmann, Hanno, and Vojtěch Rödl. "On Erdős-Rado numbers." Combinatorica 15, no. 1 (March 1995): 85–104. http://dx.doi.org/10.1007/bf01294461.

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23

Pyber, L. "An erdős—Gallai conjecture." Combinatorica 5, no. 1 (March 1985): 67–79. http://dx.doi.org/10.1007/bf02579444.

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24

Sós, Vera T. "Paul Erdős, 1913–1996." Aequationes Mathematicae 54, no. 1-2 (August 1997): 205–20. http://dx.doi.org/10.1007/bf02755456.

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25

Gasarch, William, and Sam Zbarsky. "Applications of the Erdős-Rado Canonical Ramsey Theorem to Erdős-Type Problems." Electronic Notes in Discrete Mathematics 43 (September 2013): 305–10. http://dx.doi.org/10.1016/j.endm.2013.07.048.

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26

Huang, Hao, and Yi Zhao. "Degree versions of the Erdős–Ko–Rado theorem and Erdős hypergraph matching conjecture." Journal of Combinatorial Theory, Series A 150 (August 2017): 233–47. http://dx.doi.org/10.1016/j.jcta.2017.03.006.

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27

Elliott, P. D. T. A. "A localized Erdős-Wintner theorem." Pacific Journal of Mathematics 135, no. 2 (December 1, 1988): 287–97. http://dx.doi.org/10.2140/pjm.1988.135.287.

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28

DIJKSTRA, JAN J., JAN VAN MILL, and JURIS STEPRĀNS. "Complete Erdős space is unstable." Mathematical Proceedings of the Cambridge Philosophical Society 137, no. 2 (September 2004): 465–73. http://dx.doi.org/10.1017/s0305004104007996.

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29

Grekos, G., L. Haddad, C. Helou, and J. Pihko. "On the Erdős–Turán conjecture." Journal of Number Theory 102, no. 2 (October 2003): 339–52. http://dx.doi.org/10.1016/s0022-314x(03)00108-2.

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30

Tang, Min. "On the Erdős–Turán conjecture." Journal of Number Theory 150 (May 2015): 74–80. http://dx.doi.org/10.1016/j.jnt.2014.11.016.

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31

Bárány, Imre, Edgardo Roldán-Pensado, and Géza Tóth. "Erdős–Szekeres Theorem for Lines." Discrete & Computational Geometry 54, no. 3 (June 9, 2015): 669–85. http://dx.doi.org/10.1007/s00454-015-9705-y.

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32

Koshelev, V. A. "On Erdős-Szekeres-type problems." Electronic Notes in Discrete Mathematics 34 (August 2009): 447–51. http://dx.doi.org/10.1016/j.endm.2009.07.074.

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33

Hoppen, Carlos, Hanno Lefmann, and Knut Odermann. "A rainbow Erdős-Rothschild problem." Electronic Notes in Discrete Mathematics 49 (November 2015): 473–80. http://dx.doi.org/10.1016/j.endm.2015.06.066.

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34

Chen, Yong-Gao, Jin-Hui Fang, and Norbert Hegyvári. "Erdős–Birch type question inNr." Journal of Number Theory 187 (June 2018): 233–49. http://dx.doi.org/10.1016/j.jnt.2017.10.030.

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35

Hessami Pilehrood, T., and K. Hessami Pilehrood. "On a conjecture of Erdős." Mathematical Notes 83, no. 1-2 (February 2008): 281–84. http://dx.doi.org/10.1134/s0001434608010306.

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36

Dijkstra, Jan J. "A CRITERION FOR ERDŐS SPACES." Proceedings of the Edinburgh Mathematical Society 48, no. 3 (September 15, 2005): 595–601. http://dx.doi.org/10.1017/s0013091504000823.

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AbstractIn 1940 Paul Erdős introduced the ‘rational Hilbert space’, which consists of all vectors in the real Hilbert space $\ell^2$ that have only rational coordinates. He showed that this space has topological dimension one, yet it is totally disconnected and homeomorphic to its square. In this note we generalize the construction of this peculiar space and we consider all subspaces $\mathcal{E}$ of the Banach spaces $\ell^p$ that are constructed as ‘products’ of zero-dimensional subsets $E_n$ of $\mathbb{R}$. We present an easily applied criterion for deciding whether a general space of this type is one dimensional. As an application we find that if such an $\mathcal{E}$ is closed in $\ell^p$, then it is homeomorphic to complete Erdős space if and only if $\dim\mathcal{E}>0$ and every $E_n$ is zero dimensional.
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37

Sack, Jörg-Rüdiger, and Jorge Urrutia. "Obituary Paul Erdős (1913–1996)." Computational Geometry 7, no. 4 (March 1997): 205–6. http://dx.doi.org/10.1016/s0925-7721(97)87523-2.

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38

Dijkstra, Jan J., and Jan van Mill. "Negligible sets in Erdős spaces." Topology and its Applications 159, no. 13 (August 2012): 2947–50. http://dx.doi.org/10.1016/j.topol.2012.05.006.

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39

Dai, Li-Xia, and Hao Pan. "On the Erdős–Fuchs theorem." Acta Arithmetica 189, no. 2 (2019): 147–63. http://dx.doi.org/10.4064/aa170724-11-7.

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40

Lev, Vsevolod F., and Tomasz Schoen. "Cameron-Erdős Modulo a Prime." Finite Fields and Their Applications 8, no. 1 (January 2002): 108–19. http://dx.doi.org/10.1006/ffta.2001.0330.

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41

Sándor, Csaba. "On a Problem of Erdős." Journal of Number Theory 63, no. 2 (April 1997): 203–10. http://dx.doi.org/10.1006/jnth.1997.2113.

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42

Fang, Jin-Hui, and Yong-Gao Chen. "On a problem of Erdős." Ramanujan Journal 30, no. 3 (September 26, 2012): 443–46. http://dx.doi.org/10.1007/s11139-012-9407-5.

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43

Felix, Adam Tyler, and M. Ram Murty. "ON A CONJECTURE OF ERDŐS." Mathematika 58, no. 2 (February 23, 2012): 275–89. http://dx.doi.org/10.1112/s0025579311008205.

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44

De Castro, Rodrigo, and Jerrold W. Grossman. "Famous trails to Paul Erdős." Mathematical Intelligencer 21, no. 3 (September 1999): 51–53. http://dx.doi.org/10.1007/bf03025416.

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45

Chapman, Scott T., and William W. Smith. "Erdős-Zaks all divisor sets." Periodica Mathematica Hungarica 64, no. 2 (May 24, 2012): 227–46. http://dx.doi.org/10.1007/s10998-012-5026-6.

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46

Chen, Yong-Gao. "On the Erdős–Turán conjecture." Comptes Rendus Mathematique 350, no. 21-22 (November 2012): 933–35. http://dx.doi.org/10.1016/j.crma.2012.10.022.

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47

Bollobás, Béla. "Paul Erdős at seventy-five." Discrete Mathematics 75, no. 1-3 (May 1989): 3–5. http://dx.doi.org/10.1016/0012-365x(89)90071-x.

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48

Korevaar, J. "Tauberian Theorem of Erdős Revisited." Combinatorica 21, no. 2 (April 1, 2001): 239–50. http://dx.doi.org/10.1007/s004930100022.

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49

Dijkstra, Jan J. "Characterizing stable complete Erdős space." Israel Journal of Mathematics 186, no. 1 (November 2011): 477–507. http://dx.doi.org/10.1007/s11856-011-0149-7.

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50

Sun, Yalin, and Lizhen Wu. "Generalization of Erdős-Kac theorem." Frontiers of Mathematics in China 14, no. 6 (December 2019): 1303–16. http://dx.doi.org/10.1007/s11464-019-0808-2.

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