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(a,b)^r-chain compact

Last-modified: 2015-11-17 (火) 18:09:20

Name Edit

imgtex.fcgi?%5bres=100%5d%7b$%5ba%2cb%5d%5er$%7d%25.png-chain compact

Definition Edit

a and b are infinite cardinals.
A topological space is called imgtex.fcgi?%5bres=100%5d%7b$%5ba%2cb%5d%5er$%7d%25.png-chain compact if every chain net with the regular 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.