Abstract
We introduce a new topology on the real line generated by the simple density points for measure. We show also that a simple category density point does not lead to a new notion.
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References
Bruckner, A.M;Differentiation of Real Functions, Lecture Notes in Mathematics 659, Springer Verlag, 1978.
Ciesielski K, Larso, L, Ostaszewski K,I-density continuous functions, Memoirs A.M.S.,515, 1994.
Goffman C, Neugebauer C. J, Nishiura T,The density topology and approximate continuity, Duke Math. J.,28 (1961), 497–506.
Oxtoby J. C,Measure and Category, Springer Verlag 1981.
Poreda W, Wagner-Bojakowska E, Wilczynski W,A category analogue of the density topology, Fund. Math.,125 (1985), 167–173.
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Supported by research project “Analisi Reale”, Italian PRIN funds
Visiting Professor at Facoltà di Economia, Università Federico II, Naples, Italy
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Wilczynski, W., Aversa, V. Simple density topology. Rend. Circ. Mat. Palermo 53, 344–352 (2004). https://doi.org/10.1007/BF02875727
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DOI: https://doi.org/10.1007/BF02875727