A Survey on Wallman Bases

Adalberto García-Máynez

Mexico

Universidad Nacional Autónoma de México

Instituto de Matemáticas

Submitted: 2013-11-15

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Accepted: 2013-11-15

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DOI: https://doi.org/10.4995/agt.2007.1886
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Keywords:

Wallman basis, Annular basis, Ultrafilter, Perfect extension, Wallman type, Regular Wallman, Equivalent compactifications, Cover uniformity basis, Quasi–uniformity Transitive, Totally bounded, Symmetric, Point symmetric, Locally symmetric

Supporting agencies:

This research was not funded

Abstract:

Wallman bases are frequently used in compactification processes of topological spaces. However, they are also related with quasi–uniform structures and they are useful to characterize some topological properties. We present a brief survey on the subject which supports these statements.
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