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Results tagged with homotopy-theory
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user 172239
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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Homotopy pullbacks and homotopy pushouts
Homotopy pullbacks and pushouts are not very similar to pullbacks and pushouts in the category of topological spaces. They are essentially constructions with very nice properties. The most canonical e …
