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Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Rev.colomb.mat. vol.55 no.2 Bogotá jul./dic. 2021 Epub 31-Mayo-2022
https://doi.org/10.15446/recolma.v55n2.102690
ORIGINAL ARTICLES
E-infinity coalgebra structure on chain complexes with integer coefficients
E-infinito coalgebra estructura en complejos de cadenas con coeficientes enteros
1Universidad de Costa Rica, San José, Costa Rica
The aim of this paper is to construct an E∞-operad inducing an E∞-coalgebra structure on chain complexes with integer coefficients, which is an alternative description to the E∞-coalgebra by the Barrat-Eccles operad.
Keywords: Operad theory; Chain complexes; E∞-coalgebras; Barrat-Eccles operad
El objetivo de este artículo es construir un E∞-operad que induce una estructura de E∞-coalgebra en los complejos de cadenas con coeficientes enteros. Esta construcción produce una descripción alternativa a la E∞-coalgebra del operad de Barrat-Eccles.
Palabras clave: Teoría de operads; complejos de cadenas; E∞-coalgebras; operad de Barrat-Eccles
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Received: August 17, 2021; Accepted: December 14, 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
