BOOK-CHAPTER
Homology of infinite loop spaces
Abstract
We prove a simple homological expression for the homology of a connected spectrum represented by an infinite loop space via the Segal machine. The expression is essentially due to Pirashvili but not stated explicitly in his work; we give an independent proof.
Keywords:
Homology (biology) Loop (graph theory) Mathematics Loop space Pure mathematics Simple (philosophy) Topology (electrical circuits) Combinatorics Biology Genetics
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Citation History
Topics
Homotopy and Cohomology in Algebraic Topology
Physical Sciences → Mathematics → Mathematical Physics
Topological and Geometric Data Analysis
Physical Sciences → Computer Science → Computational Theory and Mathematics
Mathematical and Theoretical Analysis
Physical Sciences → Mathematics → Mathematical Physics
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