On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets

Ryszard Frankiewicz; Andrzej Gutek

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 2, page 305-309
  • ISSN: 0010-2628

How to cite

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Frankiewicz, Ryszard, and Gutek, Andrzej. "On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets." Commentationes Mathematicae Universitatis Carolinae 022.2 (1981): 305-309. <http://eudml.org/doc/17109>.

@article{Frankiewicz1981,
author = {Frankiewicz, Ryszard, Gutek, Andrzej},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {transitive homeomorphism; Cantor set; dense semiorbit},
language = {eng},
number = {2},
pages = {305-309},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets},
url = {http://eudml.org/doc/17109},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Frankiewicz, Ryszard
AU - Gutek, Andrzej
TI - On extending transitive homeomorphisms from the Cantor set to the product of two Cantor sets
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 2
SP - 305
EP - 309
LA - eng
KW - transitive homeomorphism; Cantor set; dense semiorbit
UR - http://eudml.org/doc/17109
ER -

References

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  1. J. W. BAKER, Extensions of homeomorphisms over metric spaces, preprint. 
  2. A. GUTEK, On extending homeomorphisms on the Cantor set, Topological Structures II, Mathematical Centre Tracts 115 (1979), 105-116. (1979) Zbl0423.54028MR0565830
  3. B. KNASTER M. REICHBACH, Notion d' homogénéité et prolongements des homéomorphies, Fund. Math. 40 (1953), 180-193. (1953) MR0061817
  4. J. van MILL, Characterization of some zero-dimensional separable metric spaces, preprint. Zbl0493.54018MR0597877
  5. J. C. OXTOBY, Measure and category, Springer Verlag, New York - Heidelberg - Berlin 1971. (1971) Zbl0217.09201MR0584443
  6. R. S. PIERCE, Existence and uniqueness theorems for extensions of zero-dimensional compact metric spaces, Trans. Amer. Math. Soc. 148 (1970), 1-21. (1970) Zbl0194.54801MR0254804
  7. J. POLLARD, On extending homeomorphisms on zero-dimensional spaces, Fund Math. 67 (1970), 39-48. (1970) Zbl0198.27703MR0270348

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