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σ-C_α-compact

Last-modified: 2011-08-23 (火) 18:08:44

Definition Edit

Let X be a topological space and Y a subspace.
Y is said to be σ-C_α-compact in X if there exists a countable cover {Y_n} of Y where each Y_n is C_α-compact.
X is said to ba σ-α-pseudocompact if it is σ-C_α-compact in itself.

Reference Edit

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