Geodesic
Neighborhoods and isolated points in spaces of functional clones on sets
Algebra i logika, Tome 59 (2020) no. 3, pp. 334-343

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{AL_2020_59_3_a4,
     author = {A. G. Pinus},
     title = {Neighborhoods and isolated points in spaces of functional clones on sets},
     journal = {Algebra i logika},
     pages = {334--343},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_3_a4/}
}
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A. G. Pinus. Neighborhoods and isolated points in spaces of functional clones on sets. Algebra i logika, Tome 59 (2020) no. 3, pp. 334-343. http://geodesic.mathdoc.fr/item/AL_2020_59_3_a4/