Characterizations of certain general and reproductive solutions of arbitrary equations
Characterizations of generalized paracompact spaces
Characterizations of metric completeness
Characterizations of metric spaces by the use of their midsets: intervals
Characterizations of Sn-metrizable Spaces
Characterizations of snowflake metric spaces.
Characterizations of some bitopological separation axioms in terms of - closure operator
Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. (Short Communication).
Characterizations of some near-continuous functions and near-open functions.
Characterizations of strongly compact spaces.
Characterizations of supercompact spaces
Characterizations of the countable infinite product of rationals and some related problems
Characterizations of uniformity-dependent dimension functions
Characterizations of Urysohn-closed spaces
Characterizations of -Lindelöf spaces
A topological space is said to be -Lindelöf [1] if every cover of by cozero sets of admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of -Lindelöf spaces.
Characterizations of -stratifiable spaces
Characterizations of σ-spaces
Characterizing cell-decomposable metrics.
Characterizing chainable, tree-like, and circle-like continua
We prove that a continuum X is tree-like (resp. circle-like, chainable) if and only if for each open cover 𝓤₄ = {U₁,U₂,U₃,U₄} of X there is a 𝓤₄-map f: X → Y onto a tree (resp. onto the circle, onto the interval). A continuum X is an acyclic curve if and only if for each open cover 𝓤₃ = {U₁,U₂,U₃} of X there is a 𝓤₃-map f: X → Y onto a tree (or the interval [0,1]).