The equivalence of two definitions of sequential pseudocompactness

Paolo Lipparini


We show that two possible definitions of sequential pseudocompactness are equivalent, and point out some consequences.


sequentially pseudocompact; feebly compact; topological space.

Subject classification

54D20; 54B10.

Full Text:



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A. Dow, J. R. Porter, R. M. Stephenson, Jr. and R. G. Woods, Spaces whose pseudocompact subspaces are closed subsets, Appl. Gen. Topol. 5 (2004), 243-264.


P. Lipparini, Products of sequentially pseudocompact spaces, arXiv:1201.4832 (2012).

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1. Selective sequential pseudocompactness
Alejandro Dorantes-Aldama, Dmitri Shakhmatov
Topology and its Applications  vol: 222  first page: 53  year: 2017  
doi: 10.1016/j.topol.2017.02.016

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147