Derived Categories in Algebraic Geometry


Full-Text PDF (144 KB) | Book articles | Book details

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

BACK TO TOP