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Topological Tomography in Convexity
Author(s) -
Montejano L.,
Shchepin E.
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609301008700
Subject(s) - mathematics , convexity , regular polygon , characterization (materials science) , topology (electrical circuits) , space (punctuation) , locally convex topological vector space , pure mathematics , topological space , combinatorics , geometry , computer science , materials science , financial economics , economics , nanotechnology , operating system
The main theorem of this paper generalizes a classic Aumann's characterization of compact convex sets, via the acyclicity of their hypersections, to arbitrary weakly closed subsets of a locally convex linear space.