Far Eastern Mathematical Journal

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Presheaves of sets and actions of semigroups

Skurikhin E.E.

2019, issue 1, P. 63-74

Abstract

Some theorems on homomorphisms of presheaves of sets are proved. The results are applied to sets with action of semigroup.

Keywords: presheaves of sets, actions of semigroup on sets

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References

[1] A. Grothendieck (with M. Artin and J.-L. Verdier), Seminaire Geometrie Algebrique 4 [SGA4], Theorie de topos et cohomologie etale de schemas, Lect. Notes in Math., v. 269, 270, Springer, Heidelberg, 1972. [2] E.E. Skurikhin, “Kategornye topologicheskie prostranstva i razmernosti”, Dal'nevostochnyi matematicheskii zhurnal, 8:1, (2008), 98–111. [3] E.E. Skurikhin, Topologii Grotendika i puchki na uporiadochennykh mnozhestvakh, Dissertatsiia na soiskanie uchenoi stepeni doktora fiz-mat. nauk, Vladivostok, 2003. [4] E.E. Skurikhin, “Polugruppy endomorfizmov kategornykh topologicheskikh prostranstv”, Dni geometrii v Novosibirske – 2018, Tezisy Mezhdunarodnoi konferentsii, Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 2018, 70–71. [5] U. Massi, Dzh. Stollings, Algebraicheskaia topologiia. Vvedenie., Mir, Moskva, 1977.

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