Composant

In point-set topology, the composant of a point p in a continuum A is the union of all proper subcontinua of A that contain p. If a continuum is indecomposable, then its composants are pairwise disjoint. The composants of a continuum are dense in that continuum.

References

  • Solecki, Sławomir (2002). "The space of composants of an indecomposable continuum". Advances in Mathematics. 166 (2): 149–192. doi:10.1006/aima.2001.2002. ISSN 0001-8708. Zbl 1014.54021.
  • Solecki, Sławomir (2002). "Descriptive set theory in topology". In Husek, M.; van Mill, J. (eds.). Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Amsterdam: Elsevier. pp. 506–508. ISBN 978-0-444-50980-2. Zbl 1030.54025.


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