Study on De Rham Cohomology Algebra of Manifolds | Zendy

Saraban Tahora | Zendy; Khondokar M Ahmed | Zendy

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Study on De Rham Cohomology Algebra of Manifolds

Author(s) -

Saraban Tahora,

Khondokar M Ahmed

Publication year - 2016

Publication title -

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)

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