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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
Accepted

Homotopy type of the Hausdorff metric

In J. Andres, M. Väth, Calculation of Lefschetz and Nielsen Numbers in Hyperspaces for Fractals and Dynamical Systems, Proc. Amer. Math. Soc. 135 (2007), 479-487, it was shown (esssentially, the resul …
Martin Väth's user avatar
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2 votes

What do absolute neighborhood retracts look like?

For Euclidean neighborhood retracts, there is the nice characterization of being locally connected (and locally compact). Unfortunately, in the infinite-dimensional case, locally connectedness is nece …
Martin Väth's user avatar
  • 1,869