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
- {{cite journal | first=Sławomir | last=Solecki | title=The space of composants of an indecomposable continuum | journal=Advances in Mathematics | volume=166 | number=2 | pages=149–192 | year=2002 | issn=0001-8708 | zbl=1014.54021 | doi=10.1006/aima.2001.2002| doi-access=free }}
- {{cite book | first=Sławomir | last=Solecki | chapter=Descriptive set theory in topology | pages=506–508 | title=Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001 | editor1-last=Husek | editor1-first=M. | editor2-last=van Mill | editor2-first=J. |location=Amsterdam | publisher=Elsevier | year=2002 | isbn=978-0-444-50980-2 | zbl=1030.54025 }}
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