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{ "item_title" : "Basic Algebraic Topology and Its Applications", "item_author" : [" Mahima Ranjan Adhikari "], "item_description" : "Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/8/13/223/855/8132238559_b.jpg", "price_data" : { "retail_price" : "99.99", "online_price" : "99.99", "our_price" : "99.99", "club_price" : "99.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Basic Algebraic Topology and Its Applications|Mahima Ranjan Adhikari

Basic Algebraic Topology and Its Applications

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Overview

Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.

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Details

  • ISBN-13: 9788132238553
  • ISBN-10: 8132238559
  • Publisher: Springer
  • Publish Date: June 2018
  • Dimensions: 9.21 x 6.14 x 1.3 inches
  • Shipping Weight: 1.97 pounds
  • Page Count: 615

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