Some articles on locally contractible, contractible, locally:
... A topological space is locally contractible if every point has a local base of contractible neighborhoods ... Contractible spaces are not necessarily locally contractible nor vice-versa ... For example, the comb space is contractible but not locally contractible (if it were, it would be locally connected which it is not) ...
Famous quotes containing the word locally:
“To see ourselves as others see us can be eye-opening. To see others as sharing a nature with ourselves is the merest decency. But it is from the far more difficult achievement of seeing ourselves amongst others, as a local example of the forms human life has locally taken, a case among cases, a world among worlds, that the largeness of mind, without which objectivity is self- congratulation and tolerance a sham, comes.”
—Clifford Geertz (b. 1926)