Modified Whyburn semigroups

Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.

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Bibliographic Details
Main Authors: Beth Borel Reynolds, Victor Schneider
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000249
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author Beth Borel Reynolds
Victor Schneider
author_facet Beth Borel Reynolds
Victor Schneider
author_sort Beth Borel Reynolds
collection DOAJ
description Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1988-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-9eb7fe9369bc4c5085066a882c0560802025-02-03T01:32:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111120520710.1155/S0161171288000249Modified Whyburn semigroupsBeth Borel Reynolds0Victor Schneider1University of Southwestern Louisiana, Lafayette 70504, Louisiana, USAUniversity of Southwestern Louisiana, Lafayette 70504, Louisiana, USALet f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.http://dx.doi.org/10.1155/S0161171288000249Whyburn constructiontopological semigroup.
spellingShingle Beth Borel Reynolds
Victor Schneider
Modified Whyburn semigroups
International Journal of Mathematics and Mathematical Sciences
Whyburn construction
topological semigroup.
title Modified Whyburn semigroups
title_full Modified Whyburn semigroups
title_fullStr Modified Whyburn semigroups
title_full_unstemmed Modified Whyburn semigroups
title_short Modified Whyburn semigroups
title_sort modified whyburn semigroups
topic Whyburn construction
topological semigroup.
url http://dx.doi.org/10.1155/S0161171288000249
work_keys_str_mv AT bethborelreynolds modifiedwhyburnsemigroups
AT victorschneider modifiedwhyburnsemigroups