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Results tagged with homotopy-theory
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user 106556
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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Sheaves of complexes and complexes of sheaves
Let A be an abelian category, and X a topological space.
There are two ways one could try to construct some oo-category of sheaves on X from this data:
Consider the category $Sh(X,A)$ of sheaves on …
