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Neighborhoods and isolated points in spaces of functional clones on sets
A. G. Pinus Novosibirsk State Technical University
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
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
Linking options:
https://www.mathnet.ru/eng/al2618 https://www.mathnet.ru/eng/al/v59/i3/p334
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Abstract page: | 143 | Full-text PDF : | 28 | References: | 21 | First page: | 2 |
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