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Semi-Compactness with Respect to a Euclidean Cone

Published online by Cambridge University Press:  20 November 2018

Daniel H. Wagner
Daniel H. Wagner*
Affiliation:
Associates Station Square One, Paoli, Pennsylvania 19301
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Abstract

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Our motivation for this note originates with consideration of a subset A of Euclidean w-space, Rn, which contains only part of its boundary. The part contained is t h a t part of the closure of A which cannot be “bettered“ within A with respect to the preference associated with a fixed closed convex cone Γ. Here b is preferred to a if and only if a — b ∊ Γ; if, for instance, Γ is the non-negative orthant of Rn, this preference is ordinary vector inequality.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 29 - 36
Copyright
Copyright © Canadian Mathematical Society 1977

References

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