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Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
What are some triangulations of Grassmannians?
I came across a weaker problem recently, namely finding a simplicial set (or complex) homotopy equivalent to $BO(n)$ was what I needed. The answer is in
http://annals.math.princeton.edu/wp-content/upl …
13
votes
Algorithmically unsolvable problems in topology
Yesterday we submitted on http://arxiv.org/abs/1302.2370 a paper "Extendability of continuous maps is undecidable" claiming that the following problem is undecidable: Given simplicial complexes $X$ an …