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nLab > Latest Changes: homotopy equivalence

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    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 16th 2010

    I have been editing the entry homotopy equivalence to include a brief discussion of strong homotopy equivalences and Vogt's lemma. In so doing, I have followed my nose and found various other entries to edit. For instance that for Hans Baues, that for cylinder functor, etc. I am thinking that the general area of Henry Whitehead's idea of algebraic homotopy, may be a useful intermediate one between the infinity category ideas (which could be seen as just a 'souped up' version of Kan complexes), (I am not saying they are just that a cynic might make them out to be!) and the algebraic topologists desire to perform calculations. Note the quotes at algebraic homotopy. Of course, they d not say what 'compute' means in this context. (Note we do not have an entry on Whitehead as yet.)

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 16th 2010

    I have created an entry for J.H.C.Whitehead. Please check to see if I have done him justice!

    I have asked a technical question at homotopy equivalence, that may be of interest. I do not have a complete answer although I have some ideas.

  3. removed query box

    +–{.query} Tim: I do not know if there is a neat formulation of the full homotopy coherent version of this, nor exactly in what settings the analogous abstract versions of Vogt’s lemma go across

    Mike Shulman: I think there’s a “full coherentification” version for quasicategories in HTT somewhere. =–

    Anonymous

    diff, v25, current

  4. Expanded reference to Allen Hatcher’s “Algebraic Topology”. Also corrected typo (Alan).

    diff, v26, current

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