The Geometry of Iterated Loop Spaces

May, J. P.

The Geometry of Iterated Loop Spaces [electronic resource] / by J. P. May. - IX, 175 p. online resource. - Lecture Notes in Mathematics, 271 0075-8434 ; . - Lecture Notes in Mathematics, 271 .

Operads and -spaces -- Operads and monads -- A? and E? operads -- The little cubes operads -- Iterated loop spaces and the -- The approximation theorem -- Cofibrations and quasi-fibrations -- The smash and composition products -- A categorical construction -- Monoidal categories -- Geometric realization of simplicial spaces -- Geometric realization and S*, C*, and ?* -- The recognition principle and A? spaces -- E? spaces and infinite loop sequences -- Remarks concerning the recognition principle.

9783540376033

10.1007/BFb0067491 doi


Topology.
Topology.

QA611-614.97

514
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