Retracts and extensors of compact transformation groups

Autor:	M. Dzadzamia
Rok vydání:	2012
Předmět:	Statistics and Probability Discrete mathematics Pure mathematics Class (set theory) Compact group Transformation group Applied Mathematics General Mathematics Mathematics::General Topology Equivariant map Topological space Topological transformation Mathematics
Zdroj:	Journal of Mathematical Sciences. 186:866-881
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-012-1041-7
Popis:	In this paper, we study G-spaces, i.e., topological spaces with actions of a compact group G, from the point of view of the theory of retracts. We recall definitions and properties of absolute retracts, absolute neighborhood retracts, absolute extensors, and absolute neighborhood extensors with respect to the equivariant weakly hereditary class \( \mathfrak{G} \) of G-spaces. Also, we give basic notions of the theory of topological transformation groups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c6786f3d986ab878c80f2cfd53fd1748 https://doi.org/10.1007/s10958-012-1041-7 Zobrazit plný text záznamu Plný text ve formátu PDF