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Title: Generalizations of convexity
Author: Calvert, David Ian
ISNI:       0000 0001 3514 7326
Awarding Body: University of London
Current Institution: Royal Holloway, University of London
Date of Award: 1978
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I consider four generalizations of the concept of a convex set in Rd. A subset X of R belongs to the family T(a) if for all x, y e X ax + (1 -a)y e X where a e R. Properties of elements of T(a) are considered in Chapter 1.Also in Chapter 1 a planar generalization of the family T(a) is considered. In Chapter 2 a study of m-convex sets is made and the extensive literature is constructively reviewed. In Chapter 3 some properties of locally starshaped sets are obtained.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Mathematics