Composant
From HandWiki
Revision as of 21:58, 25 October 2021 by imported>S.Timg (add)
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.
- Solecki, Sławomir (2002). "Descriptive set theory in topology". in Husek, M.; van Mill, J.. 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.
![]() | Original source: https://en.wikipedia.org/wiki/Composant.
Read more |