Defining functions for open sets in ℝn

J. M. Burgués

Defining functions for open sets in ℝⁿ

J. M. Burgués

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

In this note we give, for any open subset in ℝn, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.

Original language	English
Pages (from-to)	45-54
Journal	Real Analysis Exchange
Volume	31
Issue number	1
Publication status	Published - 1 Jan 2006

Keywords

Defining function
Differentiable function
Non regular

Cite this

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title = "Defining functions for open sets in ℝn",

abstract = "In this note we give, for any open subset in ℝn, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.",

keywords = "Defining function, Differentiable function, Non regular",

author = "Burgu{\'e}s, {J. M.}",

year = "2006",

month = jan,

day = "1",

language = "English",

volume = "31",

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journal = "Real Analysis Exchange",

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publisher = "Michigan State University Press",

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N2 - In this note we give, for any open subset in ℝn, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.

AB - In this note we give, for any open subset in ℝn, a function describing the boundary of this set with exact regularity and being, globally, as regular as possible.

KW - Defining function

KW - Differentiable function

KW - Non regular

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SP - 45

EP - 54

JO - Real Analysis Exchange

JF - Real Analysis Exchange

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Defining functions for open sets in ℝn

Abstract

Keywords

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Cite this

Defining functions for open sets in ℝⁿ