Some remarks on almost continuous functions

Zbigniew Piotrowski

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 1, page 75-80
  • ISSN: 0139-9918

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Piotrowski, Zbigniew. "Some remarks on almost continuous functions." Mathematica Slovaca 39.1 (1989): 75-80. <http://eudml.org/doc/34284>.

@article{Piotrowski1989,
author = {Piotrowski, Zbigniew},
journal = {Mathematica Slovaca},
keywords = {dense subsets of the product; nearly continuous function; almost continuous function; densely approaching function; countable dense very thin set},
language = {eng},
number = {1},
pages = {75-80},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some remarks on almost continuous functions},
url = {http://eudml.org/doc/34284},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Piotrowski, Zbigniew
TI - Some remarks on almost continuous functions
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 1
SP - 75
EP - 80
LA - eng
KW - dense subsets of the product; nearly continuous function; almost continuous function; densely approaching function; countable dense very thin set
UR - http://eudml.org/doc/34284
ER -

References

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  1. BENNETT H. R., Real-valued functions on certain semi-metric spaces, Compositio Math. 30, 1975, 137- 144. (1975) Zbl0306.54039MR0391002
  2. BRECKENRIDGE J. C., NISHIURA T., Partial continuity, quasi-continuity, and Baire spaces, Bull. Inst. Math. Acad. Sinica, 4, 1976, 191-203. (1976) MR0514985
  3. BYCZKOWSKI T., POL R., On the closed graph and open mapping theorems, Bull. Acad. Polon. Sci. 24, 1976, 723-726. (1976) Zbl0336.54011MR0423286
  4. ENGELKING R., On Borel sets and B-measurable functions in metric spaces, Annales Societatis Mathematicae Polonae Series I. Comment. Math. 10, 1967, 145-149. (1967) Zbl0145.19601MR0209163
  5. KELLEY J. L., General Topology, Van Nostrand, Princeton, 1955. (1955) Zbl0066.16604MR0070144
  6. NEUВRUNN T., Generalized continuity and separate continuity, Math. Slovaca, 27, 1977, 307-314. (1977) MR0536149
  7. OXTOBY J. C., Cartesian products of Baire spaces, Fund. Math. 49, 1961, 156-170. (1961) Zbl0113.16402MR0140638
  8. PIOTROWSKI. Z., SZYMAŃSKI A., Special subsets of product spaces, (In prepaгation.) 
  9. WILHELM M., Almost lower semicontinuous multifunctions and the Souslin graph theorem, Comment. Math. Univ. Carolinae 23, 1982, 147-158. (1982) Zbl0508.54015MR0653358
  10. YOUNG W., YOUNG G. C., Discontinuous functions continuous with respect to every stгaight line, Quart. J. Math. Oxfoгd Ser., vol. 41, 1910, 87-93. (1910) 

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