scholarly journals Ascoli’s theorem for pseudocompact spaces

2020 ◽  
Vol 114 (4) ◽  
Author(s):  
Saak Gabriyelyan
Keyword(s):  
Pseudocompact Spaces

scholarly journals A metrisation theorem for pseudocompact spaces

2001 ◽  
Vol 63 (1) ◽  
pp. 101-104
Author(s):  
Chris Good ◽  
A. M. Mohamad
Keyword(s):  
Completely Regular ◽  
Pseudocompact Space ◽  
Pseudocompact Spaces

In this paper we prove that a completely regular pseudocompact space with a quasi-regular-Gδ-diagonal is metrisable.

scholarly journals Pseudocompact spaces $X$ and $df$-spaces $C_{c}\left ( X\right ) $

2004 ◽  
Vol 132 (6) ◽  
pp. 1703-1712 ◽  
Author(s):  
Jerzy Kakol ◽  
Stephen A. Saxon ◽  
Aaron R. Todd
Keyword(s):  
Pseudocompact Spaces

scholarly journals Remarks on neighborhood star-Lindelöf spaces II

Filomat ◽  
2013 ◽  
Vol 27 (5) ◽  
pp. 875-880
Author(s):  
Yan-Kui Song
Keyword(s):  
Open Cover ◽  
Countable Subset ◽  
Topological Properties ◽  
Pseudocompact Spaces ◽  
The Relationship

A space X is said to be neighborhood star-Lindel?f if for every open cover U of X there exists a countable subset A of X such that for every open O?A, X=St(O,U). In this paper, we continue to investigate the relationship between neighborhood star-Lindel?f spaces and related spaces, and study topological properties of neighborhood star-Lindel?f spaces in the classes of normal and pseudocompact spaces. .

Basic and Classic Results on Pseudocompact Spaces

2018 ◽  
pp. 1-38
Author(s):  
J. Angoa-Amador ◽  
A. Contreras-Carreto ◽  
M. Ibarra-Contreras ◽  
Á. Tamariz-Mascarúa
Keyword(s):  
Pseudocompact Spaces

Non-trivial non weakly pseudocompact spaces

2018 ◽  
Vol 247 ◽  
pp. 1-8
Author(s):  
F. Hernández-Hernández ◽  
R. Rojas-Hernández ◽  
Á. Tamariz-Mascarúa
Keyword(s):  
Pseudocompact Spaces

scholarly journals LINEARLY ORDERED SPACE WHOSE SQUARE AND HIGHER POWERS CANNOT BE CONDENSED ONTO A NORMAL SPACE

2017 ◽  
Vol 20 (10) ◽  
pp. 68-73
Author(s):  
O.I. Pavlov
Keyword(s):  
Topological Space ◽  
Normal Space ◽  
Topological Properties ◽  
Pseudocompact Spaces ◽  
Countably Compact ◽  
Ordered Space ◽  
One To One ◽  
Hereditary Properties

One of the central tasks in the theory of condensations is to describe topological properties that can be improved by condensation (i.e. a continuous one-to-one mapping). Most of the known counterexamples in the field deal with non-hereditary properties. We construct a countably compact linearly ordered (hence, monotonically normal, thus ” very strongly” hereditarily normal) topological space whose square and higher powers cannot be condensed onto a normal space. The constructed space is necessarily pseudocompact in all the powers, which complements a known result on condensations of non-pseudocompact spaces.

Hard pseudocompact spaces

2012 ◽  
Vol 35 (3) ◽  
pp. 313-329
Author(s):  
Partha Pratim Ghosh ◽  
Biswajit Mitra
Keyword(s):  
Pseudocompact Spaces

scholarly journals Strongly τ-pseudocompact spaces

1998 ◽  
Vol 89 (3) ◽  
pp. 285-298 ◽  
Author(s):  
A.V. Arhangel'skii
Keyword(s):  
Pseudocompact Spaces
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