Topological spaces without -accessible diagonal
Total and absolute paracompactness
Transfinite metrics, sequences and topological properties
True preimages of compact or separable sets for functional analysts
We discuss various results on the existence of ‘true’ preimages under continuous open maps between -spaces, -lattices and some other spaces. The aim of the paper is to provide accessible proofs of this sort of results for functional-analysts.
T-theory.
Two closed categories of filters
Two examples of non-separable metrizable spaces
Two non-homeomorphic countable spaces having homeomorphic squares
Two-valued functions, non-archimedean quasi-metrics and ultraquasi-gauges
Tychonoff products of super second countable and super separable metric spaces