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2008•arXiv (Cornell University)Open access

The $C^0-$contact topology and the group of strictly contact homeomorphisms

Augustin Banyaga, Peter Spaeth

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Abstract

We prove that for regular contact forms there exists a bijective correspondence between the $C^0$ limits of sequences of smooth strictly contact isotopies and the limits with respect to the contact distance of their corresponding Hamiltonians.

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What this paper is about

We prove that for regular contact forms there exists a bijective correspondence between the $C^0$ limits of sequences of smooth strictly contact isotopies and the limits with respect to the contact distance of their corresponding Hamiltonians.

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Available abstract

We prove that for regular contact forms there exists a bijective correspondence between the $C^0$ limits of sequences of smooth strictly contact isotopies and the limits with respect to the contact distance of their corresponding Hamiltonians.

Key concepts: Bijection, Mathematics, Group (periodic table), Topology (electrical circuits), Pure mathematics, Combinatorics, Physics, Quantum mechanics

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