Classification of weak continuities and decomposition of continuity.
Tong, Jingcheng (2004)
International Journal of Mathematics and Mathematical Sciences
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Tong, Jingcheng (2004)
International Journal of Mathematics and Mathematical Sciences
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B. A. Saleemi, Naseer Shahzad, M. A. Alghamdi (2001)
Archivum Mathematicum
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We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?
D. Adnađević (1986)
Matematički Vesnik
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Stanislav Hencl (2002)
Fundamenta Mathematicae
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Absolutely continuous functions of n variables were recently introduced by J. Malý [5]. We introduce a more general definition, suggested by L. Zajíček. This new absolute continuity also implies continuity, weak differentiability with gradient in Lⁿ, differentiability almost everywhere and the area formula. It is shown that our definition does not depend on the shape of balls in the definition.
Hermann Render (1993)
Publications de l'Institut Mathématique
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Rose, David A. (1988)
International Journal of Mathematics and Mathematical Sciences
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Anand Prakash, Pramila Srivastava (1977)
Mathematica Slovaca
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