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Nov 13, 2016 at 13:18 vote accept Jan Steinebrunner
Nov 6, 2016 at 21:22 vote accept Jan Steinebrunner
Nov 13, 2016 at 13:17
Nov 6, 2016 at 21:22 comment added Jan Steinebrunner Thank you for clarifying which definition is usually used. As you mentioned it is meant to make the classifying map unique up to homotopy. The definition given in the arXiv article implies that the classifying morphism is unique up to homotopy (define a morphism on $X\times \{0,1\}$ and extend it to $X\times [0,1]$). It turns out that the definitions are often equivalent, see my answer below. Btw I read your book on simplicial objects in algebraic topology for my bachelor thesis learned a lot, thank you for writing
Nov 5, 2016 at 20:50 history answered Peter May CC BY-SA 3.0