Tame topology

In mathematics, a tame topology is a hypothetical topology proposed by Alexander Grothendieck in his research program Esquisse d’un programme under the French name topologie modérée (moderate topology). It is a topology in which the theory of dévissage can be applied to stratified structures such as semialgebraic or semianalytic sets.

Not to be confused with Tame manifold.

Some authors consider an o-minimal structure to be a candidate for realizing tame topology in the real case. There are also some other suggestions.

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