On the Continuous Functions with Respect to \(\mathcal{I}(\mathcal{J})\)-Density Topologies
Jacek Hejduk and Renata Wiertelak
Source: Real Anal. Exchange Volume 36, Number 2
(2010), 463-470.
Abstract
This paper contains the properties of continuous functions equipped with the \(\mathcal{I}(J)\)-density topology or natural topology in the domain or the range.
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Permanent link to this document: http://projecteuclid.org/euclid.rae/1321020513
References
K. Ciesielski, L. Larson, and K. Ostaszewski, $\mI$-Density Continous Functions, Mem. Amer. Math. Soc. 107, 515, 1994.
Mathematical Reviews (MathSciNet): MR1188595
Zentralblatt MATH: 0801.26001
J. Hejdukand G. Horbaczewska, On $\mI$-density topologies with respect to a fixed sequence, Reports on Real Analysis, Conference at Rowy, (2003), 78–85.
G. Horbaczewska, The family of $\mI$-density type topologies, Comment. Math. Univ. Carolinae, 46(4) (2005), 735–745.
Mathematical Reviews (MathSciNet): MR2259503
Zentralblatt MATH: 1121.54009
W. Poreda, E. Wagner-Bojakowska, and W. Wilczyński, A category analogue of the density topology, Fund. Math., 125 (1985), 167-173.
Mathematical Reviews (MathSciNet): MR813753
R. Wiertelak, A generalization of density topology with respect to category, Real Anal. Exchange, 32(1) (2006/2007), 273–286.
Mathematical Reviews (MathSciNet): MR2329237
Zentralblatt MATH: 05170323
Project Euclid: euclid.rae/1184700052
R. Wiertelak, About $\mI (J)$–approximately continuous functions, Period. Math. Hungar., (submitted).
W. Wilczyński, A generalization of density topology, Real Anal. Exchange, 8(1) (1982-83), 16–20.
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