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. 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. See also

Thom's first isotopy lemma

References

External links

https://ncatlab.org/nlab/show/tame+topology

Algebraic analysis
Geometry education
Stratifications
Topology