Published April 28, 2022 | Version v1
Journal article Open

GROUPS IN TOPOLOGY

  • 1. M.Phil Student of Mathematics, PRIST Deemed to be University, Thanjavur, Tamilnadu
  • 2. Professor of Mathematics, PRIST Deemed to be University, Thanjavur, Tamilnadu

Description

The word “Mathematics” comes from Greek word “Mathema” which means science, knowledge or learning; mathematiko’s means fond of learning. Today the term refers to specific body of knowledge - the deductive study of quantity structure, space and change. The basic problems of topology are to determine whether two given topological spaces are homomorphism or not. Two spaces are not homomorphism is a different matter. For that, one must show that a continuous function with continuous inverse does not exist.

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References

  • 1. B. K. Lahiri – "A first course in Algebraic topology" Narosa Publishing. 2. J. N. Sharma – Topology Krishnan Prakeshan Media Private Limited Merrut. 1999.