On $\lambda$-perfect maps
Authors : Mehrdad Namdari, Mohammad Ali Siavoshi
Pages : 1087-1091
View : 7 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :$\lambda$-Perfect maps, a generalization of perfect maps (i.e. continuous closed maps with compact fibers) are presented. Using $P_\lambda$-spaces and the concept of $\lambda$-compactness some classical results regarding $\lambda$-perfect maps will be extended. In particular, we show that if the composition $fg$ is a $\lambda$-perfect map where $f,g$ are continuous maps with $fg$ well-defined, then $f,g$ are $\alpha$-perfect and $\beta$-perfect, respectively, on appropriate spaces, where $\alpha, \beta\leq\lambda$.Keywords : $lambda$-Compact, $lambda$-perfect, $P_lambda$-space, Lindelöf number