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About the cocompleteness of the category S(B) of Segal topological algebras

About the cocompleteness of the category \(\mathcal{S} (B)\) of Segal topological algebras
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 05 Feb 2020 English Publisher:Estonian Academy PublishersJournal:Proceedings of the Estonian Academy of Sciences, volume 69, pages 53-56 (issn: 1736-6046, Copyright policy )
Authors: Mart Abel;

doi: 10.3176/proc.2020.1.06

About the cocompleteness of the category S(B) of Segal topological algebras

Abstract

In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.

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Keywords

mathematics, Science, Q, cocompleteness, Categories, functors in functional analysis, colimit, topological algebras, Segal topological algebras, segal topological algebras, Inductive and projective limits in functional analysis, category, General theory of topological algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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