Relevant bibliographies by topics / Nowhere dense sets

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Nowhere dense sets'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Nowhere dense sets"

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Yupapin, Preecha, Vadakasi Subramanian, and Yasser Farhat. "On Nowhere Dense Sets." European Journal of Pure and Applied Mathematics 15, no. 2 (2022): 403–14. http://dx.doi.org/10.29020/nybg.ejpam.v15i2.4283.

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We introduce two types of strongly nowhere dense sets, namely (s, v)-strongly nowhere dense set, (s, v)*-strongly nowhere dense set and analyze their characteristics in a bigeneralized topological space (BGTS). Further, it is also given some relations between these two types of strongly nowhere dense sets along with its various properties for (s, v)*-strongly nowhere dense set. Finally, the necessary and sufficient condition is found between \mu-strongly nowhere dense set and (s, v)*-strongly nowhere dense set in a BGTS.
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N.Raksha, Ben, and Hari siva annam G. "An Overview on \mu_N Strongly Nowhere Dense Sets." Asia Mathematika 6, no. 2 (2022): 48——55. https://doi.org/10.5281/zenodo.7120723.

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In this article we have introduced some new types of sets such as \(\mu_N\)  strongly dense, \(\mu_N\)  strongly nowhere dense, \(\mu_N\) strongly first category sets, \(\mu_N\)  strongly nowhere residual sets and their attributes are explained briefly. Also by making use of these we have retrieved \(\mu_N\)  strongly Baire space and its properties are to be described.
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Fejzić. "F"UTILITY ON NOWHERE DENSE SETS." Real Analysis Exchange 23, no. 1 (1997): 87. http://dx.doi.org/10.2307/44152827.

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N. Raksha Ben, G. Hari Siva Annam та G.Helen Rajapushpam. "A Perspective Note on μ_N σ Baire’s Space". Neutrosophic Systems with Applications 7 (22 липня 2023): 54–60. http://dx.doi.org/10.61356/j.nswa.2023.29.

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In this article, we have introduced some new types of sets such as strongly dense, strongly nowhere dense, strongly first category sets , strongly nowhere residual sets and their attributes are explained briefly. Also by making use of these we have retrieved strongly Baire space and its properties are to be described.
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Yasser, Farhat, and Vadakasi Subramanian. "Generalized Dense set in Bigeneralized Topological Spaces." European Journal of Pure and Applied Mathematics 16, no. 4 (2023): 2049–65. http://dx.doi.org/10.29020/nybg.ejpam.v16i4.4911.

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In this article, in a bigeneralized topological space, we introduce an interesting tool namely, $(s, v)$-dense set, and examine the significance of this set. Also, we give the relations between nowhere-dense sets defined in generalized and bigeneralized topological space and give some of their properties by using functions. Finally, we give some applications for $(s, v)$-dense and $(s, v)$-nowhere dense sets in a soft set theory.
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Poongothai, E., and S. Divyapriya. "On Fuzzy soft Regularly nowhere dense sets." Journal of Physics: Conference Series 1850, no. 1 (2021): 012083. http://dx.doi.org/10.1088/1742-6596/1850/1/012083.

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Aponte, Elvis, Vadakasi Subramanian, Jhixon Macías, and Muthumari Krishnan. "On Semi-Continuous and Clisquish Functions in Generalized Topological Spaces." Axioms 12, no. 2 (2023): 130. http://dx.doi.org/10.3390/axioms12020130.

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In this paper, we will focus on three types of functions in a generalized topological space, namely; lower and upper semi-continuous functions, and cliquish functions. We give some results for nowhere dense sets and for second category sets. Further, we discuss the nature of cliquish functions in generalized metric spaces and provide the characterization theorem for cliquish functions in terms of nowhere dense sets.
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LINDNER, SEBASTIAN. "RESOLVABILITY PROPERTIES OF SIMILAR TOPOLOGIES." Bulletin of the Australian Mathematical Society 92, no. 3 (2015): 470–77. http://dx.doi.org/10.1017/s0004972715001021.

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We demonstrate that many properties of topological spaces connected with the notion of resolvability are preserved by the relation of similarity between topologies. Moreover, many of them can be characterised by the properties of the algebra of sets with nowhere dense boundary and the ideal of nowhere dense sets. We use these results to investigate whether a given pair of an algebra and an ideal is topological.
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Drakakis, Konstantinos. "On Costas Sets and Costas Clouds." Abstract and Applied Analysis 2009 (2009): 1–23. http://dx.doi.org/10.1155/2009/467342.

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We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence of nowhere continuous dense bijections that satisfy the Costas property on , , and , the latter two being based on nonlinear solutions of Cauchy's functional equation, as well as on , , and , which are, in effect, generalized Golomb rulers. We generalize the Welch and Golomb construction methods for Costas arrays to apply on and , and we prove that
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Cao, Jiling, та Sina Greenwood. "The ideal generated by σ-nowhere dense sets". Applied General Topology 7, № 2 (2006): 253. http://dx.doi.org/10.4995/agt.2006.1928.

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Dissertations / Theses on the topic "Nowhere dense sets"

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Mattingly, Christopher. "RATIONAL APPROXIMATION ON COMPACT NOWHERE DENSE SETS." UKnowledge, 2012. http://uknowledge.uky.edu/math_etds/4.

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For a compact, nowhere dense set X in the complex plane, C, define Rp(X) as the closure of the rational functions with poles off X in Lp(X, dA). It is well known that for 1 ≤ p < 2, Rp(X) = Lp(X) . Although density may not be achieved for p > 2, there exists a set X so that Rp(X) = Lp(X) for p up to a given number greater than 2 but not after. Additionally, when p > 2 we shall establish that the support of the annihiliating and representing measures for Rp(X) lies almost everywhere on the set of bounded point evaluations of X.
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Book chapters on the topic "Nowhere dense sets"

1

Vinitha, T., and T. P. Johnson. "Nowhere p - Dense Sets and Semi p-correspondent Topologies." In Recent Advances in Mathematical Research and Computer Science Vol. 10. Book Publisher International (a part of SCIENCEDOMAIN International), 2022. http://dx.doi.org/10.9734/bpi/ramrcs/v10/15723d.

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Behrens, Stefan, Boldizsár Kalmár, and Daniele Zuddas. "The Ball to Ball Theorem." In The Disc Embedding Theorem. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198841319.003.0010.

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The ball to ball theorem is presented, which states that a map from the 4-ball to itself, restricting to a homeomorphism on the 3-sphere, whose inverse sets are null and have nowhere dense image, is approximable by homeomorphisms relative to the boundary. The approximating homeomorphisms are produced abstractly, as in the previous chapter, with no need to investigate the decomposition elements further. In the proof of the disc embedding theorem, a decomposition of the 4-ball will be constructed, called the gaps<sup>+</sup> decomposition. The ball to ball theorem will be used to prove that this
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Wise, Gary L., and Eric B. Hall. "The Real Line." In Counterexamples in Probability and Real Analysis. Oxford University PressNew York, NY, 1993. http://dx.doi.org/10.1093/oso/9780195070682.003.0002.

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Abstract The real line is the playground of real analysis. Although many introductory treatments of the real line might lead one to believe that the real line is rather lackluster and dull, such is not the case. In this chapter we will explore several pathological properties and subsets of the real line. Before proceeding, however, we will first present some useful definitions. A subset P of JR is said to be perfect if it is closed and if every point of P is a limit point. A subset A of JR is said to be nowhere dense if its closure has an empty interior. A subset of JR is said to be of the fir
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Journal articles
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