Homotopical realizations of innity groupoids

Autors/ores

  • Jan McGarry Furriol University of Copenhagen

Paraules clau:

homotopy hypothesis, fundamental infinity groupoid, Moore paths.

Resum

La hipòtesi d'homotopia de Grothendieck afirma que l'estudi dels tipus d'homotopia dels espais topològics és equivalent a l'estudi dels 1-grupoides. En la pràctica, un cop triat un model per a les categories d'ordre superior, l'equivalència és realitzada per l'assignació del 1-grupoide fonamental a un espai topològic. Proposem un model accessible per al 1-grupoide fonamental, usant categories topològiques per a  odelitzar els 1-grupoides.

Biografia de l'autor/a

Jan McGarry Furriol, University of Copenhagen




Descàrregues

Com citar

McGarry Furriol, J. (2021). Homotopical realizations of innity groupoids. Reports@SCM, 6(1), 49–57. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/149536

Número

Vol. 6 Núm. 1 (2021)

Secció

Articles

Llicència

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