- Title
- Constructible convex sets
- Creator
- Borwein, Jonathan M.; Vanderwerff, Jon D.
- Relation
- Set-Valued and Variational Analysis: theory and applications Vol. 12, Issue 1-2, p. 61-77
- Publisher Link
- http://dx.doi.org/10.1023/B:SVAN.0000023393.75251.05
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2004
- Description
- We investigate when closed convex sets can be written as countable intersections of closed half-spaces in Banach spaces. It is reasonable to consider this class to comprise the constructible convex sets since such sets are precisely those that can be defined by a countable number of linear inequalities, hence are accessible to techniques of semi-infinite convex programming. We also explore some model theoretic implications. Applications to set convergence are given as limiting examples.
- Subject
- convex sets; countable intersections; biorthogonal systems; Mosco convergence; slice convergence; Martin's axiom; Kunen's space
- Identifier
- http://hdl.handle.net/1959.13/1046804
- Identifier
- uon:14692
- Identifier
- ISSN:1877-0533
- Rights
- The original publication is available at www.springerlink.com
- Language
- eng
- Full Text
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