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σ-α-pseudocompact

Last-modified: 2011-08-23 (火) 18:08:25

Definition Edit

A topological space X is called σ-α-pseudocompact if it is σ-C_α-compact in itself (i.e. there is a countable cover {X_n} where each X_n is C_α-compact).

Reference Edit

Angel Tamariz-Mascarua, α-Pseudocompactness in C_p-spaces, Topology Proceedings, Vol.23, Summer 1998, 349-362.