The equivalence of two definitions of sequential pseudocompactness

Paolo Lipparini

Abstract

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


Keywords

sequentially pseudocompact; feebly compact; topological space.

Subject classification

54D20; 54B10.

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References

G. Artico, U. Marconi, J. Pelant, L. Rotter and M. Tkachenko, Selections and suborderability, Fund. Math. 175 (2002), 1-33.

(http://dx.doi.org/10.4064/fm175-1-1)

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.

(http://dx.doi.org/10.4995/agt.2004.1973)

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

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Cited-By (articles included in Crossref)

This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

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   https://doi.org/10.4995/agt