On certain constactions in finitistic spaces

Autor:	Satya Deo, Mohan Singh
Jazyk:	angličtina
Rok vydání:	1983
Předmět:	finitistic spaces adjunction spaces covering dimension. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 6, Iss 3, Pp 477-482 (1983)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171283000423
Popis:	Since the product of two finitistic spaces need not be finitistic, and also because a continuous closed image of a finitistic space need not be finitistic, it is natural to enquire whether or not the class of finitistic spaces in closed under the formation of cones, reduced cones, suspensions, reduced suspensions, adjunction spaces, mapping cylinders, mapping cones, joins and smash products. In this paper we prove that all of the above constructs, except joins and smash products, of finitistic spaces are finitistic. The joins and smash products of finitistic spaces, however, need not be finitistic. We find sufficient conditions under which these are also finitistic.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/95ececb5db5b4e22b4ed2b7f9ff8f7cb Zobrazit plný text záznamu Plný text View record in DOAJ