HOMOLOGY AND COHOMOLOGY WITH COEFFICIENT IN F_2

Abstract

This article aims to study algebraic topology tools: homology and cohomology in the field F_2 = {0, 1}. Therefore, we will present fundamental concepts for the understanding of this construction: category, functors, topological spaces and real projective space.  

 

Author Biographies

Lia Nojosa Sena

Master  degree in Mathematics from the Federal University of Ceará.

Thiago Amaral Melo Lima
Professor at the Federal Institute of Education, Science and Technology of the Sertão Pernambucano - Campus Salgueiro.
Rubens Cainan Saboia Monteiro

Master degree in Mathematics from the Federal University of Ceará.

References

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LIMA, E L. Elementos de topologia geral. Rio de Janeiro: Editora SBM, 2009.

LIMA, E L. Homologia básica. 2.ed. Rio de Janeiro: IMPA, 2012.

HATCHER, A. Algebraic topology, 2001. Disponível em: <AT.dvi (cornell.edu) > Acesso em: 24 de abril de 2023.

HUNGERFORD, T. W. Graduate texts in mathematics, Algebra. 8. ed. New York: Springer, 2003.

LANG, S. Graduate texts in mathematics, Algebra. 3. ed. New York: Springer, 2002.

LEE, J. M. Graduate texts in mathematics, Introduction to Smooth Manifolds. 2. ed. New York: Springer, 2012.

How to Cite

Nojosa Sena, L., Amaral Melo Lima, T., & Saboia Monteiro, R. C. (2023). HOMOLOGY AND COHOMOLOGY WITH COEFFICIENT IN F_2. RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(6), e463368. https://doi.org/10.47820/recima21.v4i6.3368