Suspension and Loop Objects and Representability of Tracks
نویسندگان
چکیده
In the general setting of groupoid enriched categories, notions of suspender and looper of a map are introduced, formalizing a generalization of the classical homotopy-theoretic notions of suspension and loop space. The formalism enables subtle analysis of these constructs. In particular, it is shown that the suspender of a principal coaction splits as a coproduct. This result leads to the notion of theories with suspension and to the cohomological classification of certain groupoid enriched categories. 2000 Mathematics Subject Classification: 18D05, 55P35, 55P40.
منابع مشابه
Suspension and Loop Objects in Theories and Cohomology
We introduce theories in which suspension, resp. loop objects, are defined and we describe the cohomology of such theories. Cohomology classes in degree 3 classify track theories. 2000 Mathematics Subject Classification: 18D05, 55P35, 55P40.
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