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supercompact

Last-modified: 2010-11-08 (月) 03:24:24

Definition Edit

Definition 2 Edit

  • A space is called supercompact if every open cover has a singleton subcover.

Remark Edit

Definition2
  • [Hofmann] Such a subspace of a topological space is also called singly generated or monogenerated.

Reference Edit

Definition
  • J. van Mill and E. Wattel, An external characterization of spaces which admit binary normal subbase, Amer. J. Math. 100(1978), pp987-994.
Defintion2
  • Escardo, Martín , Lawson, Jimmie and Simpson, Alex, Comparing Cartesian closed categories of (core) compactly generated spaces.[J] Topology Appl. 143, No. 1-3, 105-145 (2004).
  • K.H. Hofmann, M. Mislove, Local compactness and continuous lattices, in: B. Banaschewski, R.-E. Hoffmann (Eds.), Continuous Lattices, in: Lecture Notes in Math., vol. 871, Springer, Berlin, 1981, pp. 209-248.