A space, every proper principal filter of which is refined by a Cauchy filter, is called totally bounded.
Is there a term (and theory) about a stronger concept: a space every proper filter of which is refined by a Cauchy filter?
2026-02-23 18:56:10.1771872970
A stronger concept than total boundness
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I found, it is called precompact: http://ncatlab.org/nlab/show/precompact+space