Displaying similar documents to “The Milgram non-operad”

Loop spaces of the Q-construction

A. Neeman (2000)

Fundamenta Mathematicae

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Giffen in [1], and Gillet-Grayson in [3], independently found a simplicial model for the loop space on Quillen's Q-construction. Their proofs work for exact categories. Here we generalise the results to the K-theory of triangulated categories. The old proofs do not generalise. Our new proof, aside from giving the generalised result, can also be viewed as an amusing new proof of the old theorems of Giffen and Gillet-Grayson.

Adjunction of n-equivalences and triad connectivity.

Peter J. Witbooi (1995)

Publicacions Matemàtiques

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We prove a new adjunction theorem for n-equivalences. This theorem enables us to produce a simple geometric version of proof of the triad connectivity theorem of Blakers and Massey. An important intermediate step is a study of the collapsing map S∨X → S, S being a sphere.

Homotopy over B and under A

K. A. Hardie, K. H. Kamps (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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