A stratifiable $k\sb{R}$-space which is not a $k$-space

Menger probabilistic normed space is a category topological vector space

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

A not on modular hyperconvex space

menger probabilistic normed space is a category topological vector space

in this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces...

The hyperspace of finite subsets of a stratifiable space

It is shown that the hyperspace of non-empty finite subsets of a space X is an ANR (an AR) for stratifiable spaces if and only if X is a 2-hyper-locally-connected (and connected) stratifiable space. 0. Introduction. For a space X, let F(X) denote the hyperspace of non-empty finite subsets of X with the Vietoris topology, i.e., the topology generated by the sets 〈U1, . . . , Un〉 = {A ∈ F(X) | A ...

a not on modular hyperconvex space