Fractals and Universal Spaces in Dimension Theory

For metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not necessarily separable metric). While the classical theory is now well do...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lipscomb, Stephen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Springer Monographs in Mathematics,
Temas:
Topology.
Mathematical analysis.
Functions of complex variables.
Dynamical systems.
Analysis.
Functions of a Complex Variable.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Construction of =
  • Self-Similarity and for Finite
  • No-Carry Property of
  • Imbedding in Hilbert Space
  • Infinite IFS with Attractor
  • Dimension Zero
  • Decompositions
  • The Imbedding Theorem
  • Minimal-Exponent Question
  • The Imbedding Theorem
  • 1992#x2013;2007 -Related Research
  • Isotopy Moves into 3-Space
  • From 2-Web IFS to 2-Simplex IFS 2-Space and the 1-Sphere
  • From 3-Web IFS to 3-Simplex IFS 3-Space and the 2-Sphere.

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