4-dimensionale Translationsebenen mit kommutativer Standgruppe.
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.
Bijections of scattered spaces onto compact Hausdorff
Compacta with the shape finite complexes
Compactly generated shape theories
Convergence in compacta and linear Lindelöfness
Let be a compact Hausdorff space with a point such that is linearly Lindelöf. Is then first countable at ? What if this is true for every in ? We consider these and some related questions, and obtain partial answers; in particular, we prove that the answer to the second question is “yes” when is, in addition, -monolithic. We also prove that if is compact, Hausdorff, and is strongly discretely Lindelöf, for every in , then is first countable. An example of linearly Lindelöf...
Countably compact spaces all countable subsets of which are scattered
Decompositions of which satisfy a uniform Lipschitz condition are factors of
Der Kreisraum einer sphärischen Möbiusebene.