A subclass of the class MOBI
A subset theorem in dimension theory
A sufficient condition of full normality
We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.
A SURVEY OF SEMIGROUPS OF CONTINUOUS SELFMAPS.
A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues
A theorem on mappings
A Theorem On Spaces 2X With The Compact-Open Topology
A theorem on spaces 2x with the compact-open topology.
A theorem on the weak topology of C(X) for compact scattered X
A theory of absolute proper retracts
A tiny peculiar Fréchet space
A topological application of flat morasses
We define combinatorial structures which we refer to as flat morasses, and use them to construct a Lindelöf space with points of cardinality , consistent with GCH. The construction reveals, it is hoped, that flat morasses are a tool worth adding to the kit of any user of set theory.
A topological collapse number for all spaces
A Topological Notion of Boundedness.
A topological property of beta(N).
A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement
We get the following result. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. We positively answer a question of the strongly paracompact property.
A topological version of a combinatorial theorem of Katětov
A topology generated by eventually different functions
A Tychonoff non-normal space.
A type of βN with relative types