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Algebra i logika, 2020, Volume 59, Number 3, Pages 334–343
DOI: https://doi.org/10.33048/alglog.2020.59.304
(Mi al2618)
 

Neighborhoods and isolated points in spaces of functional clones on sets

A. G. Pinus

Novosibirsk State Technical University
References:
Abstract: In a previous paper, on a collection $F_A$ of functional clones on a set $A$, we introduced a natural metric $d$ turning it into a topological (metric) space $\mathfrak{F}_A=\langle F_A;d\rangle$. In this paper, we describe the structure of neighborhoods of clones in spaces $\mathfrak{F}_A$ and establish a number of consequences of this result.
Keywords: functional clone, topological space, neighborhood, isolated point.
Received: 13.11.2018
Revised: 21.10.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 3, Pages 230–236
DOI: https://doi.org/10.1007/s10469-020-09595-8
Bibliographic databases:
Document Type: Article
UDC: 512.56
Language: Russian
Citation: A. G. Pinus, “Neighborhoods and isolated points in spaces of functional clones on sets”, Algebra Logika, 59:3 (2020), 334–343; Algebra and Logic, 59:3 (2020), 230–236
Citation in format AMSBIB
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\by A.~G.~Pinus
\paper Neighborhoods and isolated points in spaces of functional clones on sets
\jour Algebra Logika
\yr 2020
\vol 59
\issue 3
\pages 334--343
\mathnet{http://mi.mathnet.ru/al2618}
\crossref{https://doi.org/10.33048/alglog.2020.59.304}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 3
\pages 230--236
\crossref{https://doi.org/10.1007/s10469-020-09595-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000585009100005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094682642}
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  • https://www.mathnet.ru/eng/al/v59/i3/p334
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    Алгебра и логика Algebra and Logic
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    Full-text PDF :28
    References:21
    First page:2
     
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