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]

Some authors consider an o-minimal structure to be a candidate for realizing tame topology in the real case.[3][4]

See also

References

  1. ^ Alexander Grothendieck, 1984. "Esquisse d'un Programme", (1984 manuscript), finally published in Schneps and Lochak (1997, I), pp.5-48; English transl., ibid., pp. 243-283. MR1483107
  2. ^ A'Campo, Ji & Papadopoulos 2016
  3. ^ Dries, L. P. D. van den (1998). Tame Topology and O-minimal Structures. London Mathematical Society lecture note series, no. 248. London Mathematical Society Lecture Note Series. Cambridge, New York, and Oakleigh, Victoria: Cambridge University Press. doi:10.1017/CBO9780511525919. ISBN 9780521598385.
  4. ^ "User Todd Trimble". MathOverflow. Retrieved 2022-08-13.

External links

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