Finite dimensional convex structures. I: General results

DOI10.1016/0166-8641(82)90071-2zbMath0506.54027OpenAlexW2125485481MaRDI QIDQ1836899

Marcel van de Vel

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90071-2

zbMATH Keywords

0-dimensional separable metric space with a natural infiniti-dimensional convexityconvexity preserving maps onto cubesdimension of hyperplanesinductive dimension functionsn- connected settopological convex structures

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Axiomatic and generalized convexity (52A01) Dimension theory in general topology (54F45)

Related Items (4)

Unnamed Item ⋮ Two-dimensional convexities are join-hull commutative ⋮ Finite dimensional convex structures. II: The invariants ⋮ Unnamed Item

Cites Work

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• Dimension of convex hyperspaces
• Metrizability of Finite Dimensional Spaces with a Binary Convexity
• A Selection Theorem for Topological Convex Structures
• The superextension of the closed unit interval is homeomorphic to the Hilbert cube
• An External Characterization of Spaces Which Admit Binary Normal Subbases
• A Quick Proof for a One-Dimensional Version of Liapounoff's Theorem
• Mapping Theorems for Non-Compact Spaces
• A Note on Dendrites and Trees

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