Publication

A refined estimate for the topological degree

Hoài-Minh Nguyên
2017
Journal Articles

Abstract

We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere Sdinto itself in the case d >= 2. This provides the answer for d >= 2 to a question raised by Brezis. The problem is still open for d = 1. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/59c34f0a-3a14-4a96-b732-27aa3e1751fd

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Hoài-Minh Nguyên
2017
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/59c34f0a-3a14-4a96-b732-27aa3e1751fd

About this result

Related concepts (25)

Continuous function

In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is .

Topological string theory

In theoretical physics, topological string theory is a version of string theory. Topological string theory appeared in papers by theoretical physicists, such as Edward Witten and Cumrun Vafa, by analogy with Witten's earlier idea of topological quantum field theory. There are two main versions of topological string theory: the topological A-model and the topological B-model. The results of the calculations in topological string theory generically encode all holomorphic quantities within the full string theory whose values are protected by spacetime supersymmetry.

Publishing

Publishing is the activity of making information, literature, music, software, and other content available to the public for sale or for free. Traditionally, the term refers to the creation and distribution of printed works, such as books, newspapers, and magazines. With the advent of digital information systems, the scope has expanded to include digital publishing such as ebooks, digital magazines, websites, social media, music, and video game publishing.

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