On the comparison of the density type topologies generated by sequences and by functions

Małgorzata Filipczak; Tomasz Filipczak

Commentationes Mathematicae (2009)

  • Volume: 49, Issue: 2
  • ISSN: 2080-1211

Abstract

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In the paper we investigate density type topologies generated by functions satisfying condition , which are not generated by any sequence.

How to cite

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Małgorzata Filipczak, and Tomasz Filipczak. "On the comparison of the density type topologies generated by sequences and by functions." Commentationes Mathematicae 49.2 (2009): null. <http://eudml.org/doc/291806>.

@article{MałgorzataFilipczak2009,
abstract = {In the paper we investigate density type topologies generated by functions $f$ satisfying condition $\liminf _\{x 0^+\} \frac\{f(x)\}\{x\}$, which are not generated by any sequence.},
author = {Małgorzata Filipczak, Tomasz Filipczak},
journal = {Commentationes Mathematicae},
keywords = {density points; density topology; comparison of topologies},
language = {eng},
number = {2},
pages = {null},
title = {On the comparison of the density type topologies generated by sequences and by functions},
url = {http://eudml.org/doc/291806},
volume = {49},
year = {2009},
}

TY - JOUR
AU - Małgorzata Filipczak
AU - Tomasz Filipczak
TI - On the comparison of the density type topologies generated by sequences and by functions
JO - Commentationes Mathematicae
PY - 2009
VL - 49
IS - 2
SP - null
AB - In the paper we investigate density type topologies generated by functions $f$ satisfying condition $\liminf _{x 0^+} \frac{f(x)}{x}$, which are not generated by any sequence.
LA - eng
KW - density points; density topology; comparison of topologies
UR - http://eudml.org/doc/291806
ER -

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