Extreme points of a continuum

DOI10.1016/j.topol.2019.03.003zbMath1415.54018OpenAlexW2921980980WikidataQ128248108 ScholiaQ128248108MaRDI QIDQ670154

Daron Anderson, Paul Bankston

Publication date: 18 March 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.03.003

zbMATH Keywords

extreme pointcontinuumKrein-Milman theoremnon-block pointshore pointbetweenness relationco-locally connected pointedge point typenested pointnon-cut pointpoint typestrong non-cut pointsubcontinuum hullsubcontinuum interval

Mathematics Subject Classification ID

Continua and generalizations (54F15) Unicoherence, multicoherence (54F55) Remainders in general topology (54D40) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (2)

Convexity in topological betweenness structures ⋮ Quotient theorems via ultracoproducts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shore points of a continuum
• Shore and non-block points in Hausdorff continua
• A continuum without non-block points
• Characterizations of arboroids and dendritic spaces
• A characterization of solenoids
• Fully closed maps and non-metrizable higher-dimensional Anderson–Choquet continua
• Non-cut, shore and non-block points in continua
• Near Coherence of Filters. II: Applications to Operator Ideals, the Stone-Cech Remainder of a Half-Line, Order Ideals of Sequences, and Slenderness of Groups
• Indecomposable continua with one and two composants
• Continua and their open subsets with connected complements
• Road systems and betweenness
• CUT POINTS IN GENERAL TOPOLOGICAL SPACES
• Some Characterizations of Arcs and Simple Closed Curves
• Concerning aposyndetic and non-aposyndetic continua

This page was built for publication: Extreme points of a continuum