|Authors:||Čukić, Sonja Lj.
|Title:||The n-fold reduced bar construction||Journal:||Journal of Homotopy and Related Structures||Volume:||13||Issue:||3||First page:||503||Last page:||543||Issue Date:||1-Sep-2018||ISSN:||1512-2891||DOI:||10.1007/s40062-017-0191-1||Abstract:||
This paper is about a correspondence between monoidal structures in categories and n-fold loop spaces. We developed a new syntactical technique whose role is to substitute the coherence results, which were the main ingredients in the proof that the Segal–Thomason bar construction provides an appropriate simplicial space. The results we present here enable more common categories to enter this delooping machine. For example, such as the category of finite sets with two monoidal structures brought by the disjoint union and Cartesian product.
|Keywords:||Bar construction | Infinite loop spaces | Monoidal categories||Publisher:||Springer Link||Project:||Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems
Representations of logical structures and formal languages and their application in computing
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