A new spectral sequence for homology of posets

Cianci, Nicolás Emanuel; Ottina, Enzo Miguel

doi:https://dx.doi.org/10.1016/j.topol.2016.12.001

Artículo

A new spectral sequence for homology of posets

Cianci, Nicolás Emanuel Icon

; Ottina, Enzo Miguel Icon

Fecha de publicación: 02/2017

Editorial: Elsevier Science

Revista: Topology And Its Applications

ISSN: 0166-8641

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

We develop a new method to compute the homology groups of Alexandroff topological spaces (or equivalently of partially ordered sets) by means of spectral sequences giving a complete and simple description of the corresponding differentials. Applying our tools, we obtain a generalization of a result of Minian in homological Morse theory for posets.

Palabras clave: Discrete Morse Theory , Finite Spaces , Homology Groups , Posets , Spectral Sequences

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)

Identificadores

URI: http://hdl.handle.net/11336/59684

DOI: https://dx.doi.org/10.1016/j.topol.2016.12.001

URL: https://www.sciencedirect.com/science/article/pii/S0166864116303182

Colecciones

Articulos(CCT - MENDOZA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MENDOZA

Citación

Cianci, Nicolás Emanuel; Ottina, Enzo Miguel; A new spectral sequence for homology of posets; Elsevier Science; Topology And Its Applications; 217; 2-2017; 1-19

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