Some factorization theorems for closed subspaces
Some further aspects of G. Preuss' theory of E-connected spaces
Some generalisations of spaces
Some generalizations of completely normal spaces
Some Generalizations of Lindelöf and Paracompact Spaces.
Some Minimal Group Topologies are Precompact.
Some more -fully normal spaces
Some new separation axioms in bitopological spaces
Some non-normal subspaces of the Čech-Stone compactification of a discrete space
Some nowhere densely generated topological properties
Some observations on filters with properties defined by open covers
We study the relation between the Hurewicz and Menger properties of filters considered topologically as subspaces of with the Cantor set topology.
Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.
Some problems and lines of investigation in general topology
Some problems concerning stability of fixed points
Some properties of continuous function spaces
Some properties of maximal open sets.
Some properties of relatively strong pseudocompactness
In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space and a subspace satisfy that and is strongly pseudocompact and metacompact in , then is compact in . We also give an example to demonstrate that the condition can not be omitted.
Some properties of subsets, almost closed mappings and paracompactness.
Some properties of the remainder of Stone-Čech compactifications
Some Properties of the Sorgenfrey Line and the Sorgenfrey Plane
We first provide a modified version of the proof in [3] that the Sorgenfrey line is T1. Here, we prove that it is in fact T2, a stronger result. Next, we prove that all subspaces of ℝ1 (that is the real line with the usual topology) are Lindel¨of. We utilize this result in the proof that the Sorgenfrey line is Lindel¨of, which is based on the proof found in [8]. Next, we construct the Sorgenfrey plane, as the product topology of the Sorgenfrey line and itself. We prove that the Sorgenfrey plane...