Open maps between Knaster continua
Carl Eberhart; J. Fugate; Shannon Schumann
Fundamenta Mathematicae (1999)
- Volume: 162, Issue: 2, page 119-148
- ISSN: 0016-2736
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topEberhart, Carl, Fugate, J., and Schumann, Shannon. "Open maps between Knaster continua." Fundamenta Mathematicae 162.2 (1999): 119-148. <http://eudml.org/doc/212415>.
@article{Eberhart1999,
abstract = {We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.},
author = {Eberhart, Carl, Fugate, J., Schumann, Shannon},
journal = {Fundamenta Mathematicae},
keywords = {continuum; degree; indecomposable; (induced) open mapping; semigroup; approximating sequence; induced open mapping},
language = {eng},
number = {2},
pages = {119-148},
title = {Open maps between Knaster continua},
url = {http://eudml.org/doc/212415},
volume = {162},
year = {1999},
}
TY - JOUR
AU - Eberhart, Carl
AU - Fugate, J.
AU - Schumann, Shannon
TI - Open maps between Knaster continua
JO - Fundamenta Mathematicae
PY - 1999
VL - 162
IS - 2
SP - 119
EP - 148
AB - We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
LA - eng
KW - continuum; degree; indecomposable; (induced) open mapping; semigroup; approximating sequence; induced open mapping
UR - http://eudml.org/doc/212415
ER -
References
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