In a previous paper, on a collection FA of functional clones on a set A, we introduced a natural metric d turning it into a topological (metric) space \( {\mathfrak{F}}_A=\left\langle {F}_A;d\right\rangle . \) 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.
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Translated from Algebra i Logika, Vol. 59, No. 3, pp. 334-343, May-June, 2020. Russian https://doi.org/10.33048/alglog.2020.59.304.
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Pinus, A.G. Neighborhoods and Isolated Points in Spaces of Functional Clones on Sets. Algebra Logic 59, 230–236 (2020). https://doi.org/10.1007/s10469-020-09595-8
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DOI: https://doi.org/10.1007/s10469-020-09595-8