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Results tagged with examples
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user 10819
For questions requesting examples of a certain structure or phenomenon
23
votes
Accepted
A simplicial complex which is not collapsible, but whose barycentric subdivision is
Lickorish and Martin constructed, for each $r$, a triangulation of the $3$-ball whose $r$th barycentric subdivision collapses, but $(r-1)$th doesn't. The basic idea, going back to Furch and Bing, is t …
- 5,575
3
votes
Accepted
When is the Freudenthal compactification an ANR?
Regarding simple examples: take $X$ to be the infinite mapping telescope of an inverse sequence of connected compact polyhedra $P_i$ (so that $X$ has one end) such that for some $j$, the inverse sequence …
- 5,575