Sobrification of partially ordered sets.
Some further aspects of G. Preuss' theory of E-connected spaces
Some generalisations of spaces
Some new separation axioms in bitopological spaces
Some properties of subsets, almost closed mappings and paracompactness.
Some separation axioms in fuzzy topological spaces
Some versions of relative paracompactness and their absolute embeddings
Arhangel’skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactness in terms of locally finite open partial refinement and asked if one can generalize the notions above to the well known Michael’s criteria of paracompactness in [17] and [18]. In this paper, we consider some versions of relative paracompactness defined by locally finite (not necessarily open) partial refinement or locally finite closed partial refinement, and also consider closure-preserving cases, such...
Spaces in which compact subsets are closed and the lattice of -topologies on a set
We obtain some new properties of the class of KC-spaces, that is, those topological spaces in which compact sets are closed. The results are used to generalize theorems of Anderson [1] and Steiner and Steiner [12] concerning complementation in the lattice of -topologies on a set .
Spaces with zero set bases
Spaces --.
and separation axioms between and .
Strong sequences and the weight of regular spaces
It will be shown that if in a family of sets there exists a strong sequence of the length then this family contains a subfamily consisting of pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.
Struktur- und Anzahlformeln für Topologien auf endlichen Mengen.
Study of -closed sets and the related notions in topological spaces.
Subparacompact Inverse Images of 2-subparacompact Spaces
Sul prodotto cartesiano di spazi topologici aventi proprietà del tipo della paracompattezza
Sur trois questions de Grimeisen en topologie générale
S-Weakly Hausdorff Spaces
and objects at in the category of proximity spaces
In previous papers, various notions of pre-Hausdorff, Hausdorff and regular objects at a point in a topological category were introduced and compared. The main objective of this paper is to characterize each of these notions of pre-Hausdorff, Hausdorff and regular objects locally in the category of proximity spaces. Furthermore, the relationships that arise among the various , , , structures at a point are investigated. Finally, we examine the relationships between the generalized separation...
-frames and almost compact frames