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Results tagged with homotopy-theory
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user 36894
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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Identifying the little disk operad with parenthesized braids
It seems to me that the operad morphism from PaB to $\Pi_1(D_2)$ works in positive arity but does not respect composition with the $0$-ary operation on the object level.
