Tame topology

In mathematics, a tame topology is a hypothetical topology proposed by Alexander Grothendieck in his research program Esquisse d’un programme[1] 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,[2] and which excludes some pathological spaces that do not correspond to intuitive notions of spaces.

Some authors consider an o-minimal structure to be a candidate for realizing tame topology in the real case.

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