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Results tagged with homotopy-theory
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user 22247
Homotopy theory is an important sub-field of algebraic topology. It is mainly concerned with the properties and structures of spaces which are invariant under homotopy. Chief among these are the homotopy groups of spaces, specifically those of spheres. Homotopy theory includes a broad set of ideas and techniques, such as cohomology theories, spectra and stable homotopy theory, model categories, spectral sequences, and classifying spaces.
4
votes
0
answers
222
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axiomatizing the abelian part of the topological fundamental groupoid functor on algebraic v...
let Vv be the category of complex algebraic varieties defined over $\bar Q\subset C$,
and let
$\pi_1^{top}:Vv\longrightarrow Groupoids$ sending a variety V into its (strict) fundamental
groupoid
$s,t …
- 468
3
votes
Elementary Equivalence =? Homotopy Equivalence
The dream behind this question is that perhaps one could think of an elementary substructure as a homotopical retract of the ambient structure
I have tried and failed to do something similar for mode …
- 468