Higher Toda brackets and Massey products

Hans Joachim Baues; David Blanc; Shilpa Gondhali

doi:10.1007/s40062-016-0157-8

Higher Toda brackets and Massey products

Hans Joachim Baues, David Blanc, Shilpa Gondhali

Department of Mathematics

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

Abstract

We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.

Original language	English
Pages (from-to)	643-677
Number of pages	35
Journal	Journal of Homotopy and Related Structures
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s40062-016-0157-8
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Tbilisi Centre for Mathematical Sciences.

Keywords

Chain complex
Enriched category
Higher order cohomology operation
Higher order homotopy operation
Massey product
Monoidal model category
Path object
Toda bracket

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/s40062-016-0157-8

Cite this

@article{670c0ff7fc6547d7a7f9b2734406dcfc,

title = "Higher Toda brackets and Massey products",

abstract = "We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.",

keywords = "Chain complex, Enriched category, Higher order cohomology operation, Higher order homotopy operation, Massey product, Monoidal model category, Path object, Toda bracket",

author = "Baues, \{Hans Joachim\} and David Blanc and Shilpa Gondhali",

note = "Publisher Copyright: {\textcopyright} 2016, Tbilisi Centre for Mathematical Sciences.",

year = "2016",

month = dec,

day = "1",

doi = "10.1007/s40062-016-0157-8",

language = "English",

volume = "11",

pages = "643--677",

journal = "Journal of Homotopy and Related Structures",

issn = "2193-8407",

publisher = "Springer Science + Business Media",

number = "4",

}

TY - JOUR

T1 - Higher Toda brackets and Massey products

AU - Baues, Hans Joachim

AU - Blanc, David

AU - Gondhali, Shilpa

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.

AB - We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and Massey products for differential graded algebras, among others.

KW - Chain complex

KW - Enriched category

KW - Higher order cohomology operation

KW - Higher order homotopy operation

KW - Massey product

KW - Monoidal model category

KW - Path object

KW - Toda bracket

UR - https://www.scopus.com/pages/publications/85002156968

U2 - 10.1007/s40062-016-0157-8

DO - 10.1007/s40062-016-0157-8

M3 - Article

AN - SCOPUS:85002156968

SN - 2193-8407

VL - 11

SP - 643

EP - 677

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

IS - 4

ER -

Higher Toda brackets and Massey products

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this