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Relevant bibliographies by topics / Compact Hausdorff spaces

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Journal articles

Academic literature on the topic 'Compact Hausdorff spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Compact Hausdorff spaces"

1

Bezhanishvili, G., N. Bezhanishvili, and J. Harding. "Modal compact Hausdorff spaces." Journal of Logic and Computation 25, no. 1 (2012): 1–35. http://dx.doi.org/10.1093/logcom/exs030.

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2

Garg, G. L., and Asha Goel. "Perfect maps in compact (countably compact) spaces." International Journal of Mathematics and Mathematical Sciences 18, no. 4 (1995): 773–76. http://dx.doi.org/10.1155/s0161171295000998.

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3

Nayar, Bhamini M. P. "Compact and extremally disconnected spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 20 (2004): 1047–56. http://dx.doi.org/10.1155/s0161171204208249.

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Viglino defined a Hausdorff topological space to beC-compact if each closed subset of the space is anH-set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is anS-set in the sense of Dickman and Krystock. Such spaces are calledC-s-compact. Recently, the notion of strongly subclosed relation, introduced by Joseph, has been utilized to characterizeC-compact spaces as those with the property that each function from the space to a Hausdorff space with a strongly subclosed inverse is closed. Here, it is shown thatC-

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4

Gruenhage, Gary. "Partitions of compact Hausdorff spaces." Fundamenta Mathematicae 142, no. 1 (1993): 89–100. http://dx.doi.org/10.4064/fm-142-1-89-100.

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5

Belugin, V. I., A. V. Osipov, and E. G. Pytkeev. "Compact condensations of Hausdorff spaces." Acta Mathematica Hungarica 164, no. 1 (2021): 15–27. http://dx.doi.org/10.1007/s10474-021-01131-z.

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6

XU, YATAO, and TANJA GRUBBA. "On computably locally compact Hausdorff spaces." Mathematical Structures in Computer Science 19, no. 1 (2009): 101–17. http://dx.doi.org/10.1017/s0960129508007366.

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Locally compact Hausdorff spaces generalise Euclidean spaces and metric spaces from ‘metric’ to ‘topology’. But does the effectivity on the latter (Brattka and Weihrauch 1999; Weihrauch 2000) still hold for the former? In fact, some results will be totally changed. This paper provides a complete investigation of a specific kind of space – computably locally compact Hausdorff spaces. First we characterise this type of effective space, and then study computability on closed and compact subsets of them. We use the framework of the representation approach, TTE, where continuity and computability o

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7

Bankston, Paul. "Reduced coproducts of compact Hausdorff spaces." Journal of Symbolic Logic 52, no. 2 (1987): 404–24. http://dx.doi.org/10.2307/2274391.

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AbstractBy analyzing how one obtains the Stone space of the reduced product of an indexed collection of Boolean algebras from the Stone spaces of those algebras, we derive a topological construction, the “reduced coproduct”, which makes sense for indexed collections of arbitrary Tichonov spaces. When the filter in question is an ultrafilter, we show how the “ultracoproduct” can be obtained from the usual topological ultraproduct via a compactification process in the style of Wallman and Frink. We prove theorems dealing with the topological structure of reduced coproducts (especially ultracopro

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8

Gurevic, R. "On Ultracoproducts of Compact Hausdorff Spaces." Journal of Symbolic Logic 53, no. 1 (1988): 294. http://dx.doi.org/10.2307/2274446.

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9

Gurevič, R. "On ultracoproducts of compact hausdorff spaces." Journal of Symbolic Logic 53, no. 1 (1988): 294–300. http://dx.doi.org/10.1017/s002248120002911x.

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AbstractI present solutions to several questions of Paul Bankston [2] by means of another version of the ultracoproduct construction, and explain the relation of ultracoproduct of compact Hausdorff spaces to other constructions combining topology, algebra and logic.

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10

Lee, Kyung Bok, and Song Yi Kim. "CHAIN RECURRENCES ON COMPACT HAUSDORFF SPACES." Far East Journal of Mathematical Sciences (FJMS) 101, no. 11 (2017): 2533–63. http://dx.doi.org/10.17654/ms101112533.

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