Somashekhar Naimpally, 1931–2014

Beer, Gerald; Concilio, A. Di; Maio, Giuseppe Di; Naimpally, S. A.; Pareek, C. M.; Peters, James F.

doi:10.1016/j.topol.2015.03.010

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Cited by 5 publications

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“…This article carries forward recent work on strong proximities [34,35,37,39] and their applications [19,31], which is a direct result of work on proximity [1,3,7,8,9,12,23,26,27,28,29,33]. Applications of the results in this paper are given in terms of the atlases and charts of proximal manifolds and what are known as…”

Section: Introductionmentioning

confidence: 88%

Strong Proximities on Smooth Manifolds and Vorono\" i Diagrams

Peters¹,

Guadagni²

2015

Preprint

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This article introduces strongly near smooth manifolds. The main results are (i) second countability of the strongly hit and far-miss topology on a family B of subsets on the Lodato proximity space of regular open sets to which singletons are added, (ii) manifold strong proximity, (iii) strong proximity of charts in manifold atlases implies that the charts have nonempty intersection. The application of these results is given in terms of the nearness of atlases and charts of proximal manifolds and what are known as Voronoï manifolds.

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