A Tychonoff non-normal space

A Tychonoff non-normal space is constructed which can be used for the construction of a regular space on which every weakly continuous (hence every θ-continuous or η-continuous) map into a given space is constant.

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Bibliographic Details
Main Author: V. Tzannes
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000754
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author V. Tzannes
author_facet V. Tzannes
author_sort V. Tzannes
collection DOAJ
description A Tychonoff non-normal space is constructed which can be used for the construction of a regular space on which every weakly continuous (hence every θ-continuous or η-continuous) map into a given space is constant.
format Article
id doaj-art-e0976bed74084ed8bfc74a381ae380fa
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1993-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e0976bed74084ed8bfc74a381ae380fa2025-02-03T01:29:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116361561610.1155/S0161171293000754A Tychonoff non-normal spaceV. Tzannes0Department of Mathematics, University of Patras, Patras 26110, GreeceA Tychonoff non-normal space is constructed which can be used for the construction of a regular space on which every weakly continuous (hence every θ-continuous or η-continuous) map into a given space is constant.http://dx.doi.org/10.1155/S0161171293000754Tychonoffnon-normalweaklyθ-η-continuous maps.
spellingShingle V. Tzannes
A Tychonoff non-normal space
International Journal of Mathematics and Mathematical Sciences
Tychonoff
non-normal
weakly
θ-
η-continuous maps.
title A Tychonoff non-normal space
title_full A Tychonoff non-normal space
title_fullStr A Tychonoff non-normal space
title_full_unstemmed A Tychonoff non-normal space
title_short A Tychonoff non-normal space
title_sort tychonoff non normal space
topic Tychonoff
non-normal
weakly
θ-
η-continuous maps.
url http://dx.doi.org/10.1155/S0161171293000754
work_keys_str_mv AT vtzannes atychonoffnonnormalspace
AT vtzannes tychonoffnonnormalspace