Open AccessStudy on De Rham Cohomology Algebra of Manifolds
Author(s) -
Saraban Tahora,
Khandaker Asif Ahmed
Publication year - 2016
Publication title -
the dhaka university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2408-8528
pISSN - 1022-2502
DOI - 10.3329/dujs.v64i2.54484
Subject(s) - mathematics , de rham cohomology , cohomology , mayer–vietoris sequence , homology (biology) , pure mathematics , group cohomology , manifold (fluid mechanics) , equivariant cohomology , subspace topology , cup product , algebra over a field , mathematical analysis , chemistry , amino acid , mechanical engineering , biochemistry , engineering
In the present paper some aspects of exterior derivative, graded algebra, cohomology algebra, de Rham cohomology algebra, singular homology, cohomology class are studied. Graded subspace, smooth map, a singular P- - simplex in a manifold M, oriented n- manifold M, the space of P- cycles and P- boundaries, Pth singular homology and homology class are treated in our paper. A theorem 3.03 is established which is related to orientable manifold.
Dhaka Univ. J. Sci. 64(2): 109-113, 2016 (July)