Cardinal Invariants in the Class of Compacta

  • A. V. Arhangel’skii
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 50)


A cardinal invariant is a function defined on the class of all topological spaces or on any of its subclasses whose values are infinite cardinal numbers and has the property that for homeomorphic spaces the function assumes the same value. In general topology the theme of cardinal invariants plays a crucial role. We will provide some reasons why this is the case.


Compact Space Hausdorff Space Cardinal Number Continuous Image Countable Network 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • A. V. Arhangel’skii
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of MoscowMoscowRussia
  2. 2.Department of MathematicsOhio UniversityAthensUSA

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