Monotone retractions and depth of continua
Janusz Jerzy Charatonik; Panayotis Spyrou
Archivum Mathematicum (1994)
- Volume: 030, Issue: 2, page 131-137
- ISSN: 0044-8753
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topCharatonik, Janusz Jerzy, and Spyrou, Panayotis. "Monotone retractions and depth of continua." Archivum Mathematicum 030.2 (1994): 131-137. <http://eudml.org/doc/247542>.
@article{Charatonik1994,
abstract = {It is shown that for every two countable ordinals $\alpha $ and $\beta $ with $\alpha > \beta $ there exist $\lambda $-dendroids $X$ and $Y$ whose depths are $\alpha $ and $\beta $ respectively, and a monotone retraction from $X$ onto $Y$. Moreover, the continua $X$ and $Y$ can be either both arclike or both fans.},
author = {Charatonik, Janusz Jerzy, Spyrou, Panayotis},
journal = {Archivum Mathematicum},
keywords = {arclike; continuum; decomposable; dendroid; depth; end; fan; mapping; monotone; retraction; unicoherent; arclike continuum; dendroid; fan; unicoherent continuum; depth; monotone retraction},
language = {eng},
number = {2},
pages = {131-137},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Monotone retractions and depth of continua},
url = {http://eudml.org/doc/247542},
volume = {030},
year = {1994},
}
TY - JOUR
AU - Charatonik, Janusz Jerzy
AU - Spyrou, Panayotis
TI - Monotone retractions and depth of continua
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 2
SP - 131
EP - 137
AB - It is shown that for every two countable ordinals $\alpha $ and $\beta $ with $\alpha > \beta $ there exist $\lambda $-dendroids $X$ and $Y$ whose depths are $\alpha $ and $\beta $ respectively, and a monotone retraction from $X$ onto $Y$. Moreover, the continua $X$ and $Y$ can be either both arclike or both fans.
LA - eng
KW - arclike; continuum; decomposable; dendroid; depth; end; fan; mapping; monotone; retraction; unicoherent; arclike continuum; dendroid; fan; unicoherent continuum; depth; monotone retraction
UR - http://eudml.org/doc/247542
ER -
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