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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

5 votes

Is there a topological description of combinatorial Euler characteristic?

a few comments on the comments above: the combinatorial euler characteristic of a definable space (roughly speaking, a space with finite decomposition into finite-dimensional cells) is a homeomophis …
Robert Ghrist's user avatar
15 votes
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Is there a topological description of combinatorial Euler characteristic?

the best approach to the geometric euler characteristic comes from the theory of o-minimal structures. the best reference in this area is the book "tame topology and o-minimal structures" by lou van …
Robert Ghrist's user avatar