Mappings related to confluence
Archivum Mathematicum (1996)
- Volume: 032, Issue: 2, page 85-103
- ISSN: 0044-8753
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topCharatonik, Janusz Jerzy. "Mappings related to confluence." Archivum Mathematicum 032.2 (1996): 85-103. <http://eudml.org/doc/247863>.
@article{Charatonik1996,
abstract = {Necessary and sufficient conditions are found in the paper for a mapping between continua to be monotone, confluent, semi-confluent, joining, weakly confluent and pseudo-confluent. Three lists of these conditions are presented. Two are formulated in terms of components and of quasi-components, respectively, of connected closed subsets of the range space, while the third one in terms of connectedness between subsets of the domain space. Some basic relations concerning these concepts are studied.},
author = {Charatonik, Janusz Jerzy},
journal = {Archivum Mathematicum},
keywords = {confluent; connected; continuum; joining; mapping; monotone; pseudo-confluent; quasi-component; semi-confluent; weakly confluent; continuum; semi-confluent; weakly confluent; pseudo-confluent; joining; monotone},
language = {eng},
number = {2},
pages = {85-103},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Mappings related to confluence},
url = {http://eudml.org/doc/247863},
volume = {032},
year = {1996},
}
TY - JOUR
AU - Charatonik, Janusz Jerzy
TI - Mappings related to confluence
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 2
SP - 85
EP - 103
AB - Necessary and sufficient conditions are found in the paper for a mapping between continua to be monotone, confluent, semi-confluent, joining, weakly confluent and pseudo-confluent. Three lists of these conditions are presented. Two are formulated in terms of components and of quasi-components, respectively, of connected closed subsets of the range space, while the third one in terms of connectedness between subsets of the domain space. Some basic relations concerning these concepts are studied.
LA - eng
KW - confluent; connected; continuum; joining; mapping; monotone; pseudo-confluent; quasi-component; semi-confluent; weakly confluent; continuum; semi-confluent; weakly confluent; pseudo-confluent; joining; monotone
UR - http://eudml.org/doc/247863
ER -
References
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- Topology, vol. 2, Academic Press and PWN, 1968. Zbl0849.01044
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- Properties of mappings and continua theory, Rocky Mountain J. Math. 6 (1976), 47-59. Zbl0326.54024MR0390996
- Pseudo-confluent mappings and a classification of continua, Canad. J. Math. 27 (1975), 1336-1348. MR0418022
- Continuous mappings on continua, Dissertationes Math. (Rozprawy Mat.) 158 (1979), 1-91. MR0522934
- Analytic topology, Amer. Math. Soc. Colloq. Publ. 28 (1942). (1942) Zbl0061.39301
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