References
J. M. Aarts, D. Lutzer, Completeness properties for recognizing Baire spaces,Dissertationes Mathematicae,CXVI (1974).
N. Bourbaki,Elements of Mathematics, General Topology, Part 2, Hermann (Paris) and Addison-Wesley (Reading, Mass., 1966).
J. C. Bradford, C. Goffman, Metric spaces in which Blumberg's theorem holds,Proc. Amer. Math. Soc.,11 (1960), 667–670.
C. Goffman, C. J. Neugebauer, T. Nishiura, Density topology and approximate continuity,Duke Math. J.,28 (1961), 497–506.
C. Goffman, D. Waterman, Approximately continuous transformations,Proc. Amer. Math. Soc.,12 (1961), 116–121.
Z. Grande, Sur les suites de functions approximativement continues et continues presque partout,Colloquium Math.,38 (1978), 259–262.
M. Laczkovich, Separation properties of some subclasses of Baire 1 functions,Acta Math. Acad. Sci. Hungar.,26 (1975), 405–412.
R. D. Mauldin, On the Baire system generated by a linear lattice of functions,Fund. Math.,68 (1970), 51–59.
R. D. Mauldin, σ-ideals and related Baire systems,Fund. Math.,69 (1971), 171–177.
R. J. O'Malley, Approximately differentiable functions: ther topology,Pac. J. Math.,72 (1977), 207–222.
R. J. O'Malley, Approximately continuous functions which are continuous almost everywhere,Acta Math. Acad. Sci. Hungar. (to appear).
J. C. Oxtoby, Cartesian products of Baire spaces,Fund. Math. 49 (1960/61), 157–166.
D. Preiss, Limits of approximately continuous functions,Czech. Math. J.,96 (1971), 371–372.
D. Preiss, Approximate derivatives and Baire classes,Czech. Math. J.,96 (1971), 373–382.
H. E. White, Jr., Topological spaces in which Blumberg's theorem holds,Proc. Amer. Math. Soc.,44 (1974), 454–462.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nishiura, T. The topology of almost everywhere continuous, approximately continuous functions. Acta Mathematica Academiae Scientiarum Hungaricae 37, 317–328 (1981). https://doi.org/10.1007/BF01895131
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01895131