Compact spaces of countable tightness in the Cohen model

1989 ◽  
pp. 55-67 ◽  
Author(s):  
Alan Dow
Keyword(s):  
Compact Spaces ◽  
Countable Tightness ◽  
Cohen Model

Murray G. Bell. Spaces of ideals of partial functions. Set theory and its applications, Proceedings of a conference held at York University, Ontario, Canada, Aug. 10–21,1987, edited by J. Streprāns and S. Watson, Lecture notes in mathematics, vol. 1401, Springer-Verlag, Berlin etc. 1989, pp. 1–4. - Alan Dow. Compact spaces of countable tightness in the Cohen model. Set theory and its applications, Proceedings of a conference held at York University, Ontario, Canada, Aug. 10–21,1987, edited by J. Streprāns and S. Watson, Lecture notes in mathematics, vol. 1401, Springer-Verlag, Berlin etc. 1989, pp. 55–67. - Peter J. Nyikos. Classes of compact sequential spaces. Set theory and its applications, Proceedings of a conference held at York University, Ontario, Canada, Aug. 10–21,1987, edited by J. Streprāns and S. Watson, Lecture notes in mathematics, vol. 1401, Springer-Verlag, Berlin etc. 1989, pp. 135–159. - Franklin D. Tall. Topological problems for set-theorists. Set theory and its applications, Proceedings of a conference held at York University, Ontario, Canada, Aug. 10–21,1987, edited by J. Streprāns and S. Watson, Lecture notes in mathematics, vol. 1401, Springer-Verlag, Berlin etc. 1989, pp. 194–200.

1991 ◽  
Vol 56 (2) ◽  
pp. 753-755
Author(s):  
Judith Roitman
Keyword(s):  
Set Theory ◽  
Partial Functions ◽  
Compact Spaces ◽  
Countable Tightness ◽  
Lecture Notes ◽  
Model Set ◽  
Cohen Model ◽  
Sequential Spaces

Closures of discrete sets in compact spaces

2005 ◽  
Vol 42 (2) ◽  
pp. 227-234 ◽  
Author(s):  
Alan Dow
Keyword(s):  
Compact Space ◽  
Discrete Subset ◽  
Compact Spaces ◽  
Countable Tightness ◽  
Whole Space ◽  
Positive Results

We consider the question of whether a compact space will always have a discrete subset whose closure has the same cardinality as the whole space. We obtain many positive results for compact spaces of countable tightness and a consistent negative result for a space of tightness and density ?1.

scholarly journals F-points in countably compact spaces

2001 ◽  
Vol 2 (1) ◽  
pp. 33 ◽  
Author(s):  
Angelo Bella ◽  
V.I. Malykhin
Keyword(s):  
Compact Space ◽  
Compact Spaces ◽  
Extremally Disconnected ◽  
Countable Tightness ◽  
Countably Compact ◽  
Countably Compact Spaces

Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.

On Simply* Compact Spaces

2019 ◽  
Vol 26 (4) ◽  
pp. 196-200
Keyword(s):  
Compact Spaces

On Simply* Compact Spaces

2019 ◽  
Vol 264 (1) ◽  
pp. 196-200
Keyword(s):  
Compact Spaces

A note on monotonically star $\sigma$-compact spaces

2019 ◽  
Vol 26 (4) ◽  
pp. 527-534
Author(s):  
Yan-Kui Song ◽  
Wei-Feng Xuan
Keyword(s):  
Compact Spaces

Soft pre seperation axioms and soft pre compact spaces

2020 ◽  
pp. 549-559
Author(s):  
M. Ravindran ◽  
B. Arun ◽  
G. Ilango
Keyword(s):  
Compact Spaces

In this paper soft pre separations are defined and few of their properties are stated and proved. Also soft pre compactness is defined and properties of a such a space are discussed.

On 𝒞ℛ-Epic Embeddings and Absolute 𝒞ℛ-Epic Spaces

2005 ◽  
Vol 57 (6) ◽  
pp. 1121-1138 ◽  
Author(s):  
Michael Barr ◽  
R. Raphael ◽  
R. G. Woods
Keyword(s):  
Locally Compact ◽  
Compact Spaces ◽  
Open Questions ◽  
Tychonoff Spaces ◽  
Locally Compact Spaces

AbstractWe study Tychonoff spaces X with the property that, for all topological embeddings X → Y, the induced map C(Y ) → C(X) is an epimorphism of rings. Such spaces are called absolute 𝒞ℛ-epic. The simplest examples of absolute 𝒞ℛ-epic spaces are σ-compact locally compact spaces and Lindelöf P-spaces. We show that absolute CR-epic first countable spaces must be locally compact.However, a “bad” class of absolute CR-epic spaces is exhibited whose pathology settles, in the negative, a number of open questions. Spaces which are not absolute CR-epic abound, and some are presented.

scholarly journals nIαg-Compact spaces and nIαg-Lindelof spaces in nano ideal topological spaces

2020 ◽  
Author(s):  
M. Parimala ◽  
D. Arivuoli ◽  
R. Perumal ◽  
S. Krithika
Keyword(s):  
Topological Spaces ◽  
Compact Spaces
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