1,721,215 research outputs found
On compact and TOP_0-compact sobrification
No full textIn this paper we study the spaces for which the topology generated by the b-closure is compact
\omega H-sets and cardinal invariants
No full textIn this paper we give a bound on the cardinality of \omegaH-sets
On the cardinality of Hausdorff spaces
No full textIn this paper we give bounds for the carcinality of Hausdorff spaces
A zero-dimensional Moore space without dense normal subspaces
No full textIn this note we give an affirmative answer to the following problem of Arhangel'skii: does there exists a first countable Tychonoff space such that no dense subspace of X is normal
Embeddings into symbolic dynamical systems
No full textIn this paper we characterize those dynamical systems (X,T) where X is a topological space and T is a continuous self-map on X, which are weakly embeddable into a symbolic dynamical system. As a corollary we obtain a result of Akashi regarding the embeddability of certain positively expansive dynamical systems into symbolic dynamical systems
On two notions of topological entropy for noncompact spaces
No full textThis paper is a contribution to the investigation of two notions of topological entropy for noncompact spaces introduced by J.E. Hofer. In particular a conjecture of Hofer on the coincidence of his definitions for the autohomeomorphisms of Tychonoff spaces is disproved
A note on the cardinality of functionally Hausdorff spaces
No full textWe give a bound on the cardinality of functionally Hausdorff spaces
\tau-paracompactness and regularity
No full textIn this paper we give some conditions which are equivalent to regularity in the realm of \tau-paracompact spaces
A-pseudocompact spaces
No full textIn this paper we study the spaces for which the topology generated by the A-closure is pseudocompact
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