Maximal pseudocompact spaces

Jack R. Porter; Robert M., Jr. Stephenson; Grant R. Woods

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 1, page 127-145
  • ISSN: 0010-2628

Abstract

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Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.

How to cite

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Porter, Jack R., Stephenson, Robert M., Jr., and Woods, Grant R.. "Maximal pseudocompact spaces." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 127-145. <http://eudml.org/doc/247607>.

@article{Porter1994,
abstract = {Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.},
author = {Porter, Jack R., Stephenson, Robert M., Jr., Woods, Grant R.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {maximal pseudocompact; maximal feebly compact; submaximal topology; submaximal topology; maximal pseudocompact spaces; maximal feebly compact spaces},
language = {eng},
number = {1},
pages = {127-145},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Maximal pseudocompact spaces},
url = {http://eudml.org/doc/247607},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Porter, Jack R.
AU - Stephenson, Robert M., Jr.
AU - Woods, Grant R.
TI - Maximal pseudocompact spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 127
EP - 145
AB - Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.
LA - eng
KW - maximal pseudocompact; maximal feebly compact; submaximal topology; submaximal topology; maximal pseudocompact spaces; maximal feebly compact spaces
UR - http://eudml.org/doc/247607
ER -

References

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  15. Porter J.R., Stephenson R.M., Jr., and Woods R.G., Maximal feebly compact spaces, Topology Applic. to appear. 
  16. Porter J.R., Stephenson R.M., Jr., and Woods R.G., Spaces with maximal feebly compact expansions, preprint. 
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  18. Porter J.R., Woods R.G., Extensions and Absolutes of Hausdorff spaces, Springer-Verlag New York (1988). (1988) Zbl0652.54016MR0918341
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