Semistability and infinite loop spaces
type: Item
instance of: scholarly article
title: Semistability and infinite loop spaces
zbMATH Open document ID: 0965.18010
DOI: 10.1016/S0022-4049(99)00181-4
author: Alex Heller
published in: Journal of Pure and Applied Algebra
publication date: 2000-12-03T00:00:00Z
review text: A pointed homotopy theory is said to be left semistable if the functor \(\Omega\Sigma\) is isomorphic to the identity. Then one has a common proper definition of infinite loop space. The uniqueness of infinite loop space machines is then a consequence of an universal property for geometric homotopy theories.
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55P47
Mathematics Subject Classification ID: 18E99
zbMATH DE Number: 1538806
zbMATH Keywords: semistable homotopy
zbMATH Keywords: infinite loop space
zbMATH Keywords: geometric homotopy theories
reviewed by: Georges Hoff
MaRDI profile type: Publication
cites work: Homotopy theories
cites work: Stable homotopy theories and stabilization
cites work: Homological algebra and (semi)stable homotopy
cites work: An Infinite Loop Space Machine for Theories with Noncontractible Multiplication
cites work: FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
cites work: The geometry of iterated loop spaces
cites work: The uniqueness of infinite loop space machines
cites work: Categories and cohomology theories
Wikidata QID: Q126865152
description: scientific article; zbMATH DE number 1538806