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Results tagged with homotopy-theory
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user 174414
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.
7
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What is the mistake in the proof of the Homotopy hypothesis by Kapranov and Voevodsky?
For the record, a precise disproof of Lemma 3.4 seems to be in this preprint of Amar Hadzihasanovic Diagrammatic sets and rewriting in weak higher categories. Further recent developments involving dia …
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What is a homotopy between $L_\infty$-algebra morphisms
For a few "concrete" notions of homotopies between $L_\infty$ morphisms (and more generally $\mathcal{P}_\infty$ morphisms for a Koszul operad $\mathcal{P}$), and how they relate to each other, I woul …