A note on separate continuity and connectivity properties

Roy A. Mimna

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 1, page 57-61
  • ISSN: 0862-7959

Abstract

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Separately continuous functions are shown to have certain properties related to connectedness.

How to cite

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Mimna, Roy A.. "A note on separate continuity and connectivity properties." Mathematica Bohemica 122.1 (1997): 57-61. <http://eudml.org/doc/248145>.

@article{Mimna1997,
abstract = {Separately continuous functions are shown to have certain properties related to connectedness.},
author = {Mimna, Roy A.},
journal = {Mathematica Bohemica},
keywords = {separate continuity; cluster sets; closed graph; $O$-connectedness; local $w^*$ continuity; separate continuity; cluster sets; closed graph},
language = {eng},
number = {1},
pages = {57-61},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on separate continuity and connectivity properties},
url = {http://eudml.org/doc/248145},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Mimna, Roy A.
TI - A note on separate continuity and connectivity properties
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 1
SP - 57
EP - 61
AB - Separately continuous functions are shown to have certain properties related to connectedness.
LA - eng
KW - separate continuity; cluster sets; closed graph; $O$-connectedness; local $w^*$ continuity; separate continuity; cluster sets; closed graph
UR - http://eudml.org/doc/248145
ER -

References

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  1. R. A. Mimnа D. A. Rose, A note on closed gгaph functions and local w* continuity, Real Anal. Exchange 18 (1992-93), 549-552. (1992) MR1228423
  2. W.J. Pervin N. Levine, 10.1090/S0002-9939-1958-0095468-2, Proc. Amer. Math. Soc. 9 (1958), 488-495. (1958) MR0095468DOI10.1090/S0002-9939-1958-0095468-2
  3. Z. Piotrowski, Separate and joint continuity, Real Anal. Exchange 11 (1985-86), 293-322. (1985) Zbl0606.54009MR0844254
  4. S. Willаrd, General Topology, Addison-Wesley PuЫishing Co.. London, 1970. (1970) MR0264581

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