CW simplicial resolutions of spaces with an application to loop spaces

David Blanc

doi:10.1016/s0166-8641(98)00090-x

CW simplicial resolutions of spaces with an application to loop spaces

David Blanc

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show how a certain type of CW simplicial resolutions of spaces by wedges of spheres may be constructed, and how such resolutions yield an obstruction theory for a given space to be a loop space.

Original language	English
Pages (from-to)	151-175
Number of pages	25
Journal	Topology and its Applications
Volume	100
Issue number	2-3
DOIs	https://doi.org/10.1016/s0166-8641(98)00090-x
State	Published - 14 Jan 2000

Keywords

CW object
Higher homotopy operation
Loop space
Simplicial resolution
∏-algebra

ASJC Scopus subject areas

Geometry and Topology

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10.1016/s0166-8641(98)00090-x

Cite this

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abstract = "We show how a certain type of CW simplicial resolutions of spaces by wedges of spheres may be constructed, and how such resolutions yield an obstruction theory for a given space to be a loop space.",

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AB - We show how a certain type of CW simplicial resolutions of spaces by wedges of spheres may be constructed, and how such resolutions yield an obstruction theory for a given space to be a loop space.

KW - CW object

KW - Higher homotopy operation

KW - Loop space

KW - Simplicial resolution

KW - ∏-algebra

UR - https://www.scopus.com/pages/publications/0042580933

U2 - 10.1016/s0166-8641(98)00090-x

DO - 10.1016/s0166-8641(98)00090-x

M3 - Article

AN - SCOPUS:0042580933

SN - 0166-8641

VL - 100

SP - 151

EP - 175

JO - Topology and its Applications

JF - Topology and its Applications

IS - 2-3

ER -

CW simplicial resolutions of spaces with an application to loop spaces

Abstract

Keywords

ASJC Scopus subject areas

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