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Manifold Structure on a Topology Space

Saraban Tahora, Pinki Datta, Shaila Akter


In the present paper some aspects of differentiable manifold, class C function, diffeomorphism, compact, manifold, Hausdorff manifold, tangent bundle, Euclidean space, smooth sub manifolds are treated. Some important theorems, propositions, lemmas and examples are also given in this paper. The lemma 7.2 is established by using Euclidean space.

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Auslander, L. and Mackenzie, R.E. Introduction to differential Manifolds, Mc Graw-Hill, New York.1963.

Brickell, F. and Clark, R.S Differential Manifolds, Van Nostrand Reinhold company, London.1970.

Charlottesville, Topology from the Differentiable Viewpoint, The University Press of Virginia, 1956.

Bott, R. and Tu, L.W. Differential forms in Algebraic Topology, New York.1982.

Boothby, W. An Introduction to Differentiable Manifolds and Differential Geometry, Academic Press, NewYork, 1975.

Hirsch, M.W., ‘On imbedding differentiable manifolds in Euclidean space’ Ann. Math. 73(1961), 566-571.


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