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Generalized Quotient

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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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Correspondence to Yukio Matsumoto .

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© 2011 Springer-Verlag Berlin Heidelberg

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Matsumoto, Y., Montesinos-Amilibia, J.M. (2011). Generalized Quotient. In: Pseudo-periodic Maps and Degeneration of Riemann Surfaces. Lecture Notes in Mathematics(), vol 2030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22534-5_3

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