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

Access to Document

10.1016/s0166-8641(98)00090-x

Cite this

@article{87d97591f2974a5eb3eb655dddda7667,

title = "CW simplicial resolutions of spaces with an application to loop spaces",

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.",

keywords = "CW object, Higher homotopy operation, Loop space, Simplicial resolution, ∏-algebra",

author = "David Blanc",

year = "2000",

month = jan,

day = "14",

doi = "10.1016/s0166-8641(98)00090-x",

language = "English",

volume = "100",

pages = "151--175",

journal = "Topology and its Applications",

issn = "0016-660X",

publisher = "Elsevier",

number = "2-3",

}

TY - JOUR

T1 - CW simplicial resolutions of spaces with an application to loop spaces

AU - Blanc, David

PY - 2000/1/14

Y1 - 2000/1/14

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=0042580933&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:0042580933

SN - 0016-660X

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

Access to Document

Other files and links

Fingerprint

Cite this