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Results tagged with homotopy-theory
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user 35714
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.
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Choice of fibrations is like a choice of a basis of a module
In some notes on derived stacks, in describing categories of fibrant objects, the author drops this parenthetical:
(Grothendieck said in his famous letter to Quillen that the choice of
$\mathscr …
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