nLab
well-connected space

A well-connected topological space is one that satisfies sufficiently strong local connectivity assumptions. These are usually defined in terms of a basis of open sets or a basis of neighbourhoods of the space. Note that this term is not universally defined, but is a placeholder for possibly more complicated adjectives that depend on the situation at hand.

Examples

Revised on February 9, 2010 01:00:27 by David Roberts (203.24.207.214)