We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generalized ordered topological spaces. In such spaces, and for every ultrafilter D, the notions of D-compactness and of D-pseudocompactness are equivalent. Any product of initially λ-compact generalized ordered topological spaces is still initially λ-compact. On the other hand, preservation under products of certain compactness properties is independent from the usual axioms for set theory
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generali...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
We discuss some notions of compactness and conver- gence relative to a specified family ℱ of subset...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If is a family of filters over some set I, a topological space X is sequencewise -compact if for eve...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
If $T$ is a class of topological spaces, let us define the \emph{Comfort (pre-)order relative to} $...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
We prove that, for an arbitrary topological space X, the following conditions are equivalent: (a) Ev...
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