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Generalized Quotient

  • Yukio MatsumotoEmail author
  • José María Montesinos-Amilibia
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2030)

Abstract

A periodic map f on a surface defines a quotient space ∑/f . In the case of a pseudo-periodic map \( f:{\Sigma}\rightarrow {\Sigma},\) however, the quotient space ∑/f would not be any reasonable space, if the term “quotient space” is taken in the usual sense, i.e., the orbit space under the action of f . To adjust this, we introduce the following definition.

Keywords

Disjoint Union Irreducible Component Quotient Space Cyclic Covering Sphere Component 
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-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Yukio Matsumoto
    • 1
    Email author
  • José María Montesinos-Amilibia
    • 2
  1. 1.Department of MathematicsGakushuin UniversityTokyoJapan
  2. 2.Facultad de Matemáticas Departamento de Geometría y TopologíaUniversidad ComplutenseMadridSpain

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