Index boundedness and uniform connectedness of space of the G-permutation degree

Autor:	R. B. Beshimov, Dimitrios N. Georgiou, R. M. Zhuraev
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	g-permutation degree space uniform space uniform connectedness index boundedness of uniform space uniform continuity Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 22, Iss 2, Pp 447-459 (2021)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2021.15566
Popis:	In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that: (1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP n GU) is uniformly continuous and uniformly open, moreover w (U) = w (SP n GU); (2) If the mapping f : (X, U) → (Y, V) is a uniformly continuous (open), then the mapping SP n Gf : (SP n GX, SP n GU) → (SP n GY, SP n GV) is also uniformly continuous (open); (3) If the uniform space (X, U) is uniformly connected, then the uniform space (SP n GX, SP n GU) is also uniformly connected.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d9b5524178aa4c339b5d341b503001a6 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF