Homotopy composition of cospans

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Homotopy composition of cospans. / Kock, Joachim; Spivak, David I.

In: Communications in Contemporary Mathematics, Vol. 19, No. 5, 1650047, 10.2017.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kock, J & Spivak, DI 2017, 'Homotopy composition of cospans', Communications in Contemporary Mathematics, vol. 19, no. 5, 1650047. https://doi.org/10.1142/S0219199716500474

APA

Kock, J., & Spivak, D. I. (2017). Homotopy composition of cospans. Communications in Contemporary Mathematics, 19(5), [1650047]. https://doi.org/10.1142/S0219199716500474

Vancouver

Kock J, Spivak DI. Homotopy composition of cospans. Communications in Contemporary Mathematics. 2017 Oct;19(5). 1650047. https://doi.org/10.1142/S0219199716500474

Author

Kock, Joachim ; Spivak, David I. / Homotopy composition of cospans. In: Communications in Contemporary Mathematics. 2017 ; Vol. 19, No. 5.

Bibtex

@article{b2bcb1f3e99b40ceb88151d777ee4261,
title = "Homotopy composition of cospans",
abstract = "It is well known that the category of finite sets and cospans, composed by pushout, contains the universal special commutative Frobenius algebra. In this paper, we observe that the same construction yields also general commutative Frobenius algebras, if just the pushouts are changed to homotopy pushouts.",
keywords = "Cospan, Frobenius algebra, homotopy pushout",
author = "Joachim Kock and Spivak, {David I.}",
year = "2017",
month = oct,
doi = "10.1142/S0219199716500474",
language = "English",
volume = "19",
journal = "Communications in Contemporary Mathematics",
issn = "0219-1997",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

RIS

TY - JOUR

T1 - Homotopy composition of cospans

AU - Kock, Joachim

AU - Spivak, David I.

PY - 2017/10

Y1 - 2017/10

N2 - It is well known that the category of finite sets and cospans, composed by pushout, contains the universal special commutative Frobenius algebra. In this paper, we observe that the same construction yields also general commutative Frobenius algebras, if just the pushouts are changed to homotopy pushouts.

AB - It is well known that the category of finite sets and cospans, composed by pushout, contains the universal special commutative Frobenius algebra. In this paper, we observe that the same construction yields also general commutative Frobenius algebras, if just the pushouts are changed to homotopy pushouts.

KW - Cospan

KW - Frobenius algebra

KW - homotopy pushout

U2 - 10.1142/S0219199716500474

DO - 10.1142/S0219199716500474

M3 - Journal article

VL - 19

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

SN - 0219-1997

IS - 5

M1 - 1650047

ER -

ID: 331505481