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(a,b)-chain compact

Last-modified: 2011-08-08 (月) 22:26:07

Name Edit

[a,b]-chain compact

Definition Edit

a and b denote infinite cardinals.
A topological space is called [a,b]-chain compact if every chain net with the cardinality from a to b (note that the cardinal may be equal to a or b) has a convergent cofinal subnet.

Reference Edit

J. E. Vaughan, Products of [a, b]-Chain Compact Spaces, Society of Czechoslovak Mathematicians and Physicist, Praha, 1977. 473–476.