Subparacompact Inverse Images of 2-subparacompact Spaces
Subparacompactness in Cartesian products of generalized ordered topological spaces
Subsequential limits of fixed point sets
Subspaces in abstract Stone duality.
Subspaces of pseudoradial spaces
Sul la theorie de la dimension dans les hypergroupes
Sul prodotto cartesiano di spazi topologici aventi proprietà del tipo della paracompattezza
Sum theorems for Ohio completeness
We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.
Sum theorems for the tightness and -character in the class of compact spaces
Superextensions of metrizable continua are Hilbert cubes
Sur la catégorie des applications quasi-continues
Sur la classe des morphismes propres dans la catégorie des espaces de convergence
Sur le nombre de côtés d'une sous-variété
Sur les espaces riemanniens avec bords singuliers
Symmetric monoidal closed structures in
Symmetric products of the Euclidean spaces and the spheres
By , , we denote the -th symmetric product of a metric space as the space of the non-empty finite subsets of with at most elements endowed with the Hausdorff metric . In this paper we shall describe that every isometry from the -th symmetric product into itself is induced by some isometry from into itself, where is either the Euclidean space or the sphere with the usual metrics. Moreover, we study the -th symmetric product of the Euclidean space up to bi-Lipschitz equivalence and...
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...
Tanaka spaces and products of sequential spaces
We consider properties of Tanaka spaces (introduced in Mynard F., More on strongly sequential spaces, Comment. Math. Univ. Carolin. 43 (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.
Tensor products in the category of convergence spaces
Tensor products in the category of topological spaces