Induced near-homeomorphisms
Commentationes Mathematicae Universitatis Carolinae (2000)
- Volume: 41, Issue: 1, page 133-137
- ISSN: 0010-2628
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Abstract
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topCharatonik, Włodzimierz J.. "Induced near-homeomorphisms." Commentationes Mathematicae Universitatis Carolinae 41.1 (2000): 133-137. <http://eudml.org/doc/248630>.
@article{Charatonik2000,
abstract = {We construct examples of mappings $f$ and $g$ between locally connected continua such that $2^f$ and $C(f)$ are near-homeomorphisms while $f$ is not, and $2^g$ is a near-homeomorphism, while $g$ and $C(g)$ are not. Similar examples for refinable mappings are constructed.},
author = {Charatonik, Włodzimierz J.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cell-like; continuum; dendrite; hyperspace; induced mapping; monotone; near-homeomorphism; refinable; continuum; hyperspace; near-homeomorphism},
language = {eng},
number = {1},
pages = {133-137},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Induced near-homeomorphisms},
url = {http://eudml.org/doc/248630},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Charatonik, Włodzimierz J.
TI - Induced near-homeomorphisms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 1
SP - 133
EP - 137
AB - We construct examples of mappings $f$ and $g$ between locally connected continua such that $2^f$ and $C(f)$ are near-homeomorphisms while $f$ is not, and $2^g$ is a near-homeomorphism, while $g$ and $C(g)$ are not. Similar examples for refinable mappings are constructed.
LA - eng
KW - cell-like; continuum; dendrite; hyperspace; induced mapping; monotone; near-homeomorphism; refinable; continuum; hyperspace; near-homeomorphism
UR - http://eudml.org/doc/248630
ER -
References
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- Nadler S.B., Jr., Induced universal maps and some hyperspaces with the fixed point property, Proc. Amer. Math. Soc. 100 (1987), 749-754. (1987) Zbl0622.54006MR0894449
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