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1999/2000 Continuity in Terms of Functional Convergence
Wojciech Wojdowski
Real Anal. Exchange 25(2): 869-878 (1999/2000).


TThe note presents a new approach to the notion of continuity of real function at a point. It is applied to obtain a characterization of continuity at a point with respect to *-topology (Hashimoto topology), density topology and $I$-density topology (Wilczyński topology). The latter is closely related to the definition of density point of measurable set formulated by W. Wilczyński in [8].


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Wojciech Wojdowski. "Continuity in Terms of Functional Convergence." Real Anal. Exchange 25 (2) 869 - 878, 1999/2000.


Published: 1999/2000
First available in Project Euclid: 3 January 2009

zbMATH: 1017.26013
MathSciNet: MR1778538

Primary: 26B05 , 28A20 , ‎54C30

Keywords: *-topology , approximately and I-approximately continuous functions , continuity , density topology , Hashimoto topology , I-density topology , Wilczy\'{n}ski topology

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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