Frederic P. Miller con Aspherical Space: Topology, Topological Space, Homotopy Group, Cw Complex, Covering Space, Contractible Space, Whitehead Theorem, Connected Space, ... Space, Classifying Space, Acyclic Space Gratis Libros

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In topology, a branch of mathematics, an aspherical space is a topological space with all higher homotopy groups equal to–{0}. If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is contractible. Indeed, contractibility of a universal cover is the same, by Whitehead's theorem, as asphericality of it. And it is an application of the exact sequence of a fibration that higher homotopy groups of a space and its universal cover are same. (By the same argument, if E is a path-connected space and p: E → B is any covering map, then E is aspherical if and only if B is aspherical.) Aspherical spaces are, directly from the definitions, Eilenberg- MacLane spaces. Also directly from the definitions, aspherical spaces are classifying spaces of their fundamental groups.

20.06.2019

  • Título Del Ebooks: Aspherical Space: Topology, Topological Space, Homotopy Group, Cw Complex, Covering Space, Contractible Space, Whitehead Theorem, Connected Space, ... Space, Classifying Space, Acyclic Space
  • Los autores: Frederic P. Miller
  • Editor: Alphascript Publishing
  • Fecha de lanzamiento: 24.04.2015
  • ISBN: 9786130618520
  • El Tamaño De Archivo: 4.10MB
  • Hoja de: 80
  • Idioma del Ebooks: Español
  • Formato de Ebooks : PDF, EPUB