Cofinal families in certain function spaces
Coherent spaces constructively
Coherent ultrafilters and nonhomogeneity
We introduce the notion of a coherent -ultrafilter on a complete ccc Boolean algebra, strengthening the notion of a -point on , and show that these ultrafilters exist generically under . This improves the known existence result of Ketonen [On the existence of -points in the Stone-Čech compactification of integers, Fund. Math. 92 (1976), 91–94]. Similarly, the existence theorem of Canjar [On the generic existence of special ultrafilters, Proc. Amer. Math. Soc. 110 (1990), no. 1, 233–241] can...
Coincidence point theorems in certain topological spaces
In this paper, we establish some new versions of coincidence point theorems for single-valued and multi-valued mappings in F-type topological space. As applications, we utilize our main theorems to prove coincidence point theorems and fixed point theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces.
Collectionwise Hausdorffness at limit cardinals
Coloring Cantor sets and resolvability of pseudocompact spaces
Let us denote by the statement that , i.e. the Baire space of weight , has a coloring with colors such that every homeomorphic copy of the Cantor set in picks up all the colors. We call a space -regular if it is Hausdorff and for every nonempty open set in there is a nonempty open set such that . We recall that a space is called feebly compact if...
Combinatorial aspects of measure and category
Combinatorics of open covers (VII): Groupability
We use Ramseyan partition relations to characterize: ∙ the classical covering property of Hurewicz; ∙ the covering property of Gerlits and Nagy; ∙ the combinatorial cardinal numbers and add(ℳ ). Let X be a -space. In [9] we showed that has countable strong fan tightness as well as the Reznichenko property if, and only if, all finite powers of X have the Gerlits-Nagy covering property. Now we show that the following are equivalent: 1. has countable fan tightness and the Reznichenko property. 2....
Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces.
Common fixed point of self-maps in intuitionistic fuzzy metric spaces
Common fixed point theorem in partially ordered -fuzzy metric spaces.
Common fixed point theorems and applications.
Common Fixed Point Theorems for Compatible and Subsequentially Continuous Mappings in Fuzzy Metric Spaces
Common fixed point theorems for fuzzy mappings
In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric spaces.
Common fixed point Theorems for non compatible mappings in fuzzy metric spaces.
Common fixed points of maps on fuzzy metric spaces.
Compacity in narrow limit tower spaces.
Compact Hausdorff spaces with two open sets
Compact Pseudo-Convergences.
Compact sets without converging sequences in the random real model.