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Results tagged with homotopy-theory
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user 1921
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.
15
votes
Interdependence between A^1 homotopy theory and algebraic cobordism
The two topics are logically, if not morally, independent of one another. $\mathbb{A}^1$-homotopy encodes objects like motivic cohomology & it's relatives which are of interest regardless of the fram …
- 2,145
6
votes
Accepted
Whitehead Products without Base Points?
As I posted in my comment, I think Paul's suggestion does work. Here's a (sloppy) description of how I think things will work:
The local systems you describe can be obtained, by passing to homotopy …
- 2,145
9
votes
Accepted
characterization of cofibrations in CW-complexes with G-action
In the model structure you describe, the cofibrations should be the retracts of the free relative G-cell maps: i.e., retracts of maps obtained by attaching cells of the form $G \times S^{n} \to G \tim …
- 2,145