Derived Categories in Algebraic Geometry

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pp: 111–121

DOI: 10.4171/115-1/5

Homology of infinite loop spaces

Dmitry Kaledin[1]

(1) Steklov Mathematical Institute, Moscow, Russian Federation

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: Loop space, Homology, Segal machine