Miscellaneous Facts about Open Functions and Continuous Functions

Artur Korniłowicz

Formalized Mathematics (2010)

  • Volume: 18, Issue: 3, page 171-174
  • ISSN: 1426-2630

Abstract

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In this article we give definitions of open functions and continuous functions formulated in terms of "balls" of given topological spaces.

How to cite

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Artur Korniłowicz. "Miscellaneous Facts about Open Functions and Continuous Functions." Formalized Mathematics 18.3 (2010): 171-174. <http://eudml.org/doc/267487>.

@article{ArturKorniłowicz2010,
abstract = {In this article we give definitions of open functions and continuous functions formulated in terms of "balls" of given topological spaces.},
author = {Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {171-174},
title = {Miscellaneous Facts about Open Functions and Continuous Functions},
url = {http://eudml.org/doc/267487},
volume = {18},
year = {2010},
}

TY - JOUR
AU - Artur Korniłowicz
TI - Miscellaneous Facts about Open Functions and Continuous Functions
JO - Formalized Mathematics
PY - 2010
VL - 18
IS - 3
SP - 171
EP - 174
AB - In this article we give definitions of open functions and continuous functions formulated in terms of "balls" of given topological spaces.
LA - eng
UR - http://eudml.org/doc/267487
ER -

References

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  7. [7] Agata Darmochwał and Yatsuka Nakamura. Metric spaces as topological spaces - fundamental concepts. Formalized Mathematics, 2(4):605-608, 1991. 
  8. [8] Stanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607-610, 1990. 
  9. [9] Artur Korniłowicz and Yasunari Shidama. Intersections of intervals and balls in ϵn/T. Formalized Mathematics, 12(3):301-306, 2004. 
  10. [10] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. 
  11. [11] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990. 
  12. [12] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 
  13. [13] Mariusz Żynel and Adam Guzowski. T0 topological spaces. Formalized Mathematics, 5(1):75-77, 1996. 

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