STUDY ON CLASSIFICATION OF COVERING SPACE

Author (s) : Dr. R.Meganathan, A.Malarselvi & M.Sridevi

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Abstract :
The concept of the fundamental group of a topological space. In addition, we will also study covering spaces of a topological space and its relation with the fundamental group. At the end we will highlight the analogy between covering spaces and the Galois group which will be evident from the theory we build on covering spaces. The fundamental group in general topological spaces and its relationship to covering spaces. Great focus is placed on lifting paths and homotopies in covering spaces and their relationship to the induced homomorphism. Our discussion concludes with the universal cover — proving existence and uniqueness in a direct constructing and highlighting its utility through applications. We conclude with a discussion of the relationship between covering spaces and the Galois correspondence.

Keywords : Fundamental group, Topological space, covering space, Galois group,

Conference Date : 17/09/2021

Pages : 260

Paper ID : IESMDT258