Direct sums and products in topological groups and vector spaces
نویسندگان
چکیده
منابع مشابه
s-Topological vector spaces
In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...
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The following proposition is true (1) Let G, H be non empty groupoids and x be an element of ∏ 〈G,H〉. Then there exists an element g of G and there exists an element h of H such that x = 〈g, h〉. Let G1, G2, H1, H2 be non empty groupoids, let f be a map from G1 into H1, and let g be a map from G2 into H2. The functor Gr2Iso(f, g) yields a map from ∏ 〈G1, G2〉 into ∏ 〈H1,H2〉 and is defined by the ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.01.037