Poincar´e duality in the homology of H-spaces

Authors

  • Wilfredo Mendoza Quispe Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas, Lima, Peru
  • Sofía Duran Quiñones Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas, Lima, Perú
  • Fidel Suarez Huaromo Malpaso Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas, Lima, Peru

DOI:

https://doi.org/10.15381/pesquimat.v27.i1.20546

Keywords:

H-spaces, homology, cohomology, infinite implications, connected arc, duality

Abstract

In this work we preliminarily and very briefly present the so-called H-spaces and the H-applications, as well as the Hopf algebra, concepts that are used in the calculation of Homology of H-spaces, highlighting in all the results the connected arc condition for an H-space. We also prove some results related to Poincaré duality, which are based on the works studied in [5], where the isomorphic relationship between Hq(X,p) and Hmq(X;p) is highlighted.

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Published

2024-06-30

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Section

Artículos originales

How to Cite

Poincar´e duality in the homology of H-spaces. (2024). Pesquimat, 27(1), 18-37. https://doi.org/10.15381/pesquimat.v27.i1.20546