Some results and examples concerning Whyburn spaces

We prove some cardinal inequalities valid in the classes of Whyburn and hereditarily weakly Whyburn spaces and we construct examples of non-Whyburn and non-weakly Whyburn spaces to illustrate that some previously known results cannot be generalized.

Bibliographic Details
Main Authors: Ofelia T. Alas, Maira Madriz-Mendoza, Richard G. Wilson
Format: Article
Language:English
Published: Universitat Politècnica de València 2012-04-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1633
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author Ofelia T. Alas
Maira Madriz-Mendoza
Richard G. Wilson
author_facet Ofelia T. Alas
Maira Madriz-Mendoza
Richard G. Wilson
author_sort Ofelia T. Alas
collection DOAJ
description We prove some cardinal inequalities valid in the classes of Whyburn and hereditarily weakly Whyburn spaces and we construct examples of non-Whyburn and non-weakly Whyburn spaces to illustrate that some previously known results cannot be generalized.
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1989-4147
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spelling doaj.art-c0e21333ae5846639965af709cdab6ae2022-12-21T20:34:48ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472012-04-01131111910.4995/agt.2012.16331335Some results and examples concerning Whyburn spacesOfelia T. Alas0Maira Madriz-Mendoza1Richard G. Wilson2Universidade de Sao PauloUniversidad Autónoma MetropolitanaUniversidad Autónoma MetropolitanaWe prove some cardinal inequalities valid in the classes of Whyburn and hereditarily weakly Whyburn spaces and we construct examples of non-Whyburn and non-weakly Whyburn spaces to illustrate that some previously known results cannot be generalized.http://polipapers.upv.es/index.php/AGT/article/view/1633Whyburn spaceWeakly Whyburn spaceSubmaximal spaceScattered spaceSemiregularFeebly compact
spellingShingle Ofelia T. Alas
Maira Madriz-Mendoza
Richard G. Wilson
Some results and examples concerning Whyburn spaces
Applied General Topology
Whyburn space
Weakly Whyburn space
Submaximal space
Scattered space
Semiregular
Feebly compact
title Some results and examples concerning Whyburn spaces
title_full Some results and examples concerning Whyburn spaces
title_fullStr Some results and examples concerning Whyburn spaces
title_full_unstemmed Some results and examples concerning Whyburn spaces
title_short Some results and examples concerning Whyburn spaces
title_sort some results and examples concerning whyburn spaces
topic Whyburn space
Weakly Whyburn space
Submaximal space
Scattered space
Semiregular
Feebly compact
url http://polipapers.upv.es/index.php/AGT/article/view/1633
work_keys_str_mv AT ofeliatalas someresultsandexamplesconcerningwhyburnspaces
AT mairamadrizmendoza someresultsandexamplesconcerningwhyburnspaces
AT richardgwilson someresultsandexamplesconcerningwhyburnspaces