Composant Explained
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
- Sławomir . Solecki . The space of composants of an indecomposable continuum . . 166 . 2 . 149–192 . 2002 . 0001-8708 . 1014.54021 . 10.1006/aima.2001.2002. free .
- Book: Solecki, Sławomir . Descriptive set theory in topology . 506–508 . Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001 . Husek . M. . van Mill . J. . Amsterdam . Elsevier . 2002 . 978-0-444-50980-2 . 1030.54025 .