Homotopy composition of cospans

Joachim Kock; David I. Spivak

doi:10.1142/S0219199716500474

Homotopy composition of cospans

Joachim Kock, David I. Spivak

Department of Mathematics

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

Abstract

© 2017 World Scientific Publishing Company. 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.

Original language	English
Article number	1650047
Journal	Communications in Contemporary Mathematics
Volume	19
Issue number	5
DOIs	https://doi.org/10.1142/S0219199716500474
Publication status	Published - 1 Oct 2017

Keywords

Cospan
Frobenius algebra
homotopy pushout

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10.1142/S0219199716500474

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title = "Homotopy composition of cospans",

abstract = "{\textcopyright} 2017 World Scientific Publishing Company. 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.",

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AU - Spivak, David I.

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AB - © 2017 World Scientific Publishing Company. 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

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DO - 10.1142/S0219199716500474

M3 - Article

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VL - 19

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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M1 - 1650047

ER -

Homotopy composition of cospans

Abstract

Keywords

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