Defining functions for open sets in ℝn

J. M. Burgués

Defining functions for open sets in ℝⁿ

J. M. Burgués

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

2 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	45-54
Revista	Real Analysis Exchange
Volum	31
Número	1
Estat de la publicació	Publicada - 1 de gen. 2006

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https://www.scopus.com/pages/publications/85032576590

Com citar-ho

@article{b208ed8b7ce24143a3f3af85f87217ff,

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",

pages = "45--54",

journal = "Real Analysis Exchange",

issn = "0147-1937",

publisher = "Michigan State University Press",

number = "1",

}

TY - JOUR

T1 - Defining functions for open sets in ℝn

AU - Burgués, J. M.

PY - 2006/1/1

Y1 - 2006/1/1

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

UR - https://www.scopus.com/pages/publications/85032576590

M3 - Article

SN - 0147-1937

VL - 31

SP - 45

EP - 54

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 1

ER -

Defining functions for open sets in ℝn

Resum

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Defining functions for open sets in ℝⁿ