A counter-example in geometry of numbers

Dumir, V. C. ; Hans-Gill, R. J. (1972) A counter-example in geometry of numbers Indian Journal of Pure and Applied Mathematics, 3 (3). pp. 460-465. ISSN 0019-5588

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Abstract

An example of a symmetrical star domain S is given such that it does not contain any star domain which is minimal for coverings in the class of symmetrical star domains with covering constant 0(S). In the process it is also shown that the analogue of Farey's result for convex domains does not hold in the class of symmetrical star domains.

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Source:Copyright of this article belongs to Indian National Science Academy.
ID Code:74807
Deposited On:19 Dec 2011 04:57
Last Modified:18 May 2016 19:06

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