Algebraic topology of finite topological spaces

Autors/ores

Paraules clau:

finite topological spaces, partially ordered sets (posets), Hasse diagrams, homotopy theory, minimal spaces, simplicial complexes.

Resum

Aquest treball segueix les línies d’estudi de R. Stong i M. McCord dels espais topològics finits. Tot i que són dues aproximacions diferents, tenen un punt de contacte: els posets. Per una banda, classificarem els espais topològics finits a través dels posets, segons el teorema de classificació de Stong. Per l’altra, veurem com els posets codifiquen tant la informació homotòpica d’un poliedre com la d’un espai topològic finit, seguint el teorema de McCord. Conclourem el treball donant un model finit d’una superfície compacta connexa.

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Descàrregues

Com citar

Subirà Cribillers, M. (2024). Algebraic topology of finite topological spaces. Reports@SCM, 9(1), 41–52. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/154340

Número

Vol. 9 Núm. 1 (2024)

Secció

Articles

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