Publicado
Combinatorial examples and applications of 2-Segal sets
Ejemplos combinatorios y aplicaciones de los 2-conjuntos de Segal
DOI:
https://doi.org/10.15446/bol.mat.v32n2.127174Palabras clave:
2-Segal set, simplicial set, S-construction, Hall algebra (en)2-conjuntos de Segal, Conjunto simplicial, S-construcción, Álgebras de Hall (es)
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We give an introduction to the theory of 2-Segal sets, and two of the main applications of them: Hall algebras and a discrete version of Waldhausen’s S•-construction. We present several combinatorial examples and how these constructions can be applied to them.
Damos una introducción a la teoría de 2-conjuntos Segal y a dos de sus principales aplicaciones: las álgebras de Hall y una versión discreta de la construcción S• de Waldhausen. Presentamos varios ejemplos combinatorios y cómo estas construcciones pueden aplicarse a ellos.
Referencias
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