higher geometry / derived geometry
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geometric little (∞,1)-toposes
geometric big (∞,1)-toposes
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A semi-algebraic set is much like a variety over the real numbers, a subset of a Cartesian space being the joint vanishing locus in of a finite set of polynomials intersected with inequalities.
A semi-algebraic manifold is much like a corresponding scheme, a space that is locally like a semi-algebraic set.
The Fulton-MacPherson compactifications of ordered configuration spaces of points are semi-algebraic manifolds (Lambrechts-Volic 14, Prop. 5.2).
Moreover, the canonical forgetful functions are semi-algebraic fiber bundles (Lambrechts-Volic 14, Theorem 5.8).
A theory of differential forms on semi-algebraic manifolds was sketched in Appendix 8 of
Details are provided, the de Rham complex of semi-algebraic differential forms on a semi-algebraic manifold is constructed in and their real homotopy theory is studied in
Discussion of the example of Fulton-MacPherson compactifications of configuration spaces of points includes
See also
Last revised on November 4, 2018 at 13:46:22. See the history of this page for a list of all contributions to it.