Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 62, No. 3, pp. 289-293 (2005)

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Almost normality and mild normality of the Tychonoff plank

Lutfi N. Kalantan

King Abdulaziz University, Department of Mathematics,
P.O. Box 114641, Jeddah 21381 -- SAUDI ARABIA
E-mail: lkalantan@hotmail.com

Abstract: The Tychonoff Plank is a popular example of the fact normality is not hereditary. We will show that it is mildly normal but not almost normal.

Keywords: $\kappa$-normal; mildly normal; almost normal; regularly closed; normal.

Classification (MSC2000): 54D15, 54B10.

Full text of the article:

Electronic version published on: 7 Mar 2008.

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