# 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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