OPEN CELL PROPERTY IN WEAKLY O-MINIMAL STRUCTURES

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EIVAZLOO JAFAR S.; TARI SOMAYYEH

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

OPEN CELL PROPERTY IN WEAKLY O-MINIMAL STRUCTURES

Author(s)

EIVAZLOO JAFAR S. | TARI SOMAYYEH | Issue Writer Certificate

Keywords

OPEN CELL PROPERTY

WEAKLY O-MINIMAL STRUCTURE

CELL DECOMPOSITION

Abstract

OPEN CELL PROPERTY (OCP) WAS CONSIDERED FOR DEFINABLE SETS IN O-MINIMAL STRUCTURES BY A.J. WILKIE. HE SHOWED THAT IF (FORMULA) IS AN O-MINIMAL EXPANSION OF A REAL CLOSED FIELD, THEN EVERY DEFINABLE BOUNDED OPEN SET S ÍMN IS A FINITE UNION OF OPEN CELLS. HERE, WE CONSIDER OCP FOR DEFINABLE SETS IN WEAKLY O-MINIMAL STRUCTURES AND SHOW THAT EVERY WEAKLY O-MINIMAL STRUCTURE WITH STRONGLY CONTINUOUS EXTENSION (SCE) CELL DECOMPOSITION SATISFIES OCP.

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APA: Copy

EIVAZLOO, JAFAR S., & TARI, SOMAYYEH. (2013). OPEN CELL PROPERTY IN WEAKLY O-MINIMAL STRUCTURES. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924925/en

Vancouver: Copy

EIVAZLOO JAFAR S., TARI SOMAYYEH. OPEN CELL PROPERTY IN WEAKLY O-MINIMAL STRUCTURES. 2013. Available from: https://sid.ir/paper/924925/en

IEEE: Copy

JAFAR S. EIVAZLOO, and SOMAYYEH TARI, “OPEN CELL PROPERTY IN WEAKLY O-MINIMAL STRUCTURES,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924925/en

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