Homotopy and Homology

  • V. G. Boltyanskiĭ
  • V. A. Efremovich
Part of the Universitext book series (UTX)


Let h be a path in a figure X leading from an initial point x 0 to an endpoint x 1. In other words, let h: [0, 1] → X be a continuous mapping satisfying the conditions h(0) = x 0 and h(1) = x 1. We will deform this path within the figure X but keep x 0 and x 1 fixed.


Fundamental Group Homology Group Multivalued Function Betti Number Free Abelian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • V. G. Boltyanskiĭ
    • 1
  • V. A. Efremovich
  1. 1.CIMAT Guanajuato, Gto.Mexico

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