k-space function spaces

A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.

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Bibliographic Details
Main Author: R. A. McCoy
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000506
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author R. A. McCoy
author_facet R. A. McCoy
author_sort R. A. McCoy
collection DOAJ
description A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1980-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2f36603d8978438cb84179d9c64b68e92025-02-03T01:25:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013470171110.1155/S0161171280000506k-space function spacesR. A. McCoy0Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg 24061, Virginia, USAA study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.http://dx.doi.org/10.1155/S0161171280000506function spacesk-spacessequential spacesFréchet spacescountable tightnessk-countableτ-countable.
spellingShingle R. A. McCoy
k-space function spaces
International Journal of Mathematics and Mathematical Sciences
function spaces
k-spaces
sequential spaces
Fréchet spaces
countable tightness
k-countable
τ-countable.
title k-space function spaces
title_full k-space function spaces
title_fullStr k-space function spaces
title_full_unstemmed k-space function spaces
title_short k-space function spaces
title_sort k space function spaces
topic function spaces
k-spaces
sequential spaces
Fréchet spaces
countable tightness
k-countable
τ-countable.
url http://dx.doi.org/10.1155/S0161171280000506
work_keys_str_mv AT ramccoy kspacefunctionspaces