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math.GN2024
Selectively pseudocompact spaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space is termed {\em selectively pseudocompact} if for any sequence o…
math.GN2024
On the companion of spaces having dense, relatively countable compact subspaces
István Juhász, Lajos Soukup, Zoltán Szentmiklóssy
The notion of "pseudocompactness" was introduced by Hewitt. The concept of relatively countably compact subspaces were explored by Marjanovic to show that a -space is pseudocomp…
math.GN2024
Pseudocompact versus countably compact in first countable spaces
István Juhász, Ljos Soukup, Zoltán Szentmiklóssy
The primary objective of this work is to construct spaces that are "pseudocompact but not countably compact," abbreviated as PNC, while endowing them with additional properties. Fi…