Tame topology
(Redirected from Moderated 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.[3][4] There are also some other suggestions.[5]
See also
[edit | edit source]References
[edit | edit source]- ^ 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. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ A'Campo, Ji & Papadopoulos 2016, § 1.
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
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External links
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