# Exactly two-to-one maps from continua onto arc-continua

Wojciech Dębski; J. Heath; J. Mioduszewski

Fundamenta Mathematicae (1996)

- Volume: 150, Issue: 2, page 113-126
- ISSN: 0016-2736

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topDębski, Wojciech, Heath, J., and Mioduszewski, J.. "Exactly two-to-one maps from continua onto arc-continua." Fundamenta Mathematicae 150.2 (1996): 113-126. <http://eudml.org/doc/212165>.

@article{Dębski1996,

abstract = {Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable.},

author = {Dębski, Wojciech, Heath, J., Mioduszewski, J.},

journal = {Fundamenta Mathematicae},

keywords = {local bundle; arc-continuum; local homeomorphism},

language = {eng},

number = {2},

pages = {113-126},

title = {Exactly two-to-one maps from continua onto arc-continua},

url = {http://eudml.org/doc/212165},

volume = {150},

year = {1996},

}

TY - JOUR

AU - Dębski, Wojciech

AU - Heath, J.

AU - Mioduszewski, J.

TI - Exactly two-to-one maps from continua onto arc-continua

JO - Fundamenta Mathematicae

PY - 1996

VL - 150

IS - 2

SP - 113

EP - 126

AB - Continuing studies on 2-to-1 maps onto indecomposable continua having only arcs as proper non-degenerate subcontinua - called here arc-continua - we drop the hypothesis of tree-likeness, and we get some conditions on the arc-continuum image that force any 2-to-1 map to be a local homeomorphism. We show that any 2-to-1 map from a continuum onto a local Cantor bundle Y is either a local homeomorphism or a retraction if Y is orientable, and that it is a local homeomorphism if Y is not orientable.

LA - eng

KW - local bundle; arc-continuum; local homeomorphism

UR - http://eudml.org/doc/212165

ER -

## References

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