A characterization of movable compacta.
A note on cyclic subelement theory-reducibility of local connectedness and local simple connectedness
A note on transitively -spaces
In this note, we show that if for any transitive neighborhood assignment for there is a point-countable refinement such that for any non-closed subset of there is some such that , then is transitively . As a corollary, if is a sequential space and has a point-countable -network then is transitively , and hence if is a Hausdorff -space and has a point-countable -network, then is transitively . We prove that if is a countably compact sequential space and has a point-countable...
A note to decompositions of real line
A Pullback theorem for cofibrations.
A Pullback Theorem for Locally-Equiconnected Spaces.
A remark on the Moore theorem.
A theorem on the weak topology of C(X) for compact scattered X
A theory of proper shape for locally compact metric spaces
A topology with order, graph and an enumeration problem.
Addition theorems and -spaces
It is proved that if a regular space is the union of a finite family of metrizable subspaces then is a -space in the sense of E. van Douwen. It follows that if a regular space of countable extent is the union of a finite collection of metrizable subspaces then is Lindelöf. The proofs are based on a principal result of this paper: every space with a point-countable base is a -space. Some other new results on the properties of spaces which are unions of a finite collection of nice subspaces...
An application of peripherality to compact semigroups.