The equivalence of two definitions of sequential pseudocompactness

Paolo Lipparini

Italy

II Università Gelmina di Roma

Submitted: 2016-01-31

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Accepted: 2016-01-31

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Published: 2016-04-12

DOI: https://doi.org/10.4995/agt.2016.4616
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Keywords:

sequentially pseudocompact, feebly compact, topological space.

Supporting agencies:

This research was not funded

Abstract:

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

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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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