Algebraic invariants for homotopy types

David Blanc

doi:10.1017/S030500419900393X

Algebraic invariants for homotopy types

David Blanc

Department of Mathematics

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

Abstract

We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π_*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.

Original language	English
Pages (from-to)	497-523
Number of pages	27
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	127
Issue number	3
DOIs	https://doi.org/10.1017/S030500419900393X
State	Published - Nov 1999

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1017/S030500419900393X

Cite this

@article{00673d56f4f444f4aa7f7a7ec1a3df87,

title = "Algebraic invariants for homotopy types",

abstract = "We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.",

author = "David Blanc",

year = "1999",

month = nov,

doi = "10.1017/S030500419900393X",

language = "English",

volume = "127",

pages = "497--523",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - Algebraic invariants for homotopy types

AU - Blanc, David

PY - 1999/11

Y1 - 1999/11

N2 - We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.

AB - We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.

UR - https://www.scopus.com/pages/publications/22444456061

U2 - 10.1017/S030500419900393X

DO - 10.1017/S030500419900393X

M3 - Article

AN - SCOPUS:22444456061

SN - 0305-0041

VL - 127

SP - 497

EP - 523

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 3

ER -

Algebraic invariants for homotopy types

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this