Composant-like decompositions

Wojciech Dębski; E. Tymchatyn

Fundamenta Mathematicae (1991)

  • Volume: 140, Issue: 1, page 69-78
  • ISSN: 0016-2736

Abstract

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The body of this paper falls into two independent sections. The first deals with the existence of cross-sections in F σ -decompositions. The second deals with the extensions of the results on accessibility in the plane.

How to cite

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Dębski, Wojciech, and Tymchatyn, E.. "Composant-like decompositions." Fundamenta Mathematicae 140.1 (1991): 69-78. <http://eudml.org/doc/211930>.

@article{Dębski1991,
abstract = {The body of this paper falls into two independent sections. The first deals with the existence of cross-sections in $F_σ$-decompositions. The second deals with the extensions of the results on accessibility in the plane.},
author = {Dębski, Wojciech, Tymchatyn, E.},
journal = {Fundamenta Mathematicae},
keywords = {-decompositions; accessibility in the plane; composants; indecomposable metric continuum; -subsets; decompositions of separable metric spaces},
language = {eng},
number = {1},
pages = {69-78},
title = {Composant-like decompositions},
url = {http://eudml.org/doc/211930},
volume = {140},
year = {1991},
}

TY - JOUR
AU - Dębski, Wojciech
AU - Tymchatyn, E.
TI - Composant-like decompositions
JO - Fundamenta Mathematicae
PY - 1991
VL - 140
IS - 1
SP - 69
EP - 78
AB - The body of this paper falls into two independent sections. The first deals with the existence of cross-sections in $F_σ$-decompositions. The second deals with the extensions of the results on accessibility in the plane.
LA - eng
KW - -decompositions; accessibility in the plane; composants; indecomposable metric continuum; -subsets; decompositions of separable metric spaces
UR - http://eudml.org/doc/211930
ER -

References

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  1. [1] H. Cook, Subsets of indecomposable continua, Colloq. Math. 13 (1964), 37-43. Zbl0129.38604
  2. [2] W. Dębski and E. D. Tymchatyn, External equivalence in decompositions of spaces, Proc. Amer. Math. Soc. 100 (1987), 781-784. Zbl0622.54005
  3. [3] J. Krasinkiewicz, On the composants of indecomposable plane continua, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 935-940. Zbl0251.54017
  4. [4] J. Krasinkiewicz, Concerning the accessibility of composants of indecomposable plane continua, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 21 (1973), 621-628. Zbl0262.54031
  5. [5] J. Krasinkiewicz, On internal composants of indecomposable plane continua, Fund. Math. 84 (1974), 255-263. Zbl0276.54032
  6. [6] K. Kuratowski, Topology, Vol. 2, Academic Press, New York 1969. 
  7. [7] K. Kuratowski, Applications of the Baire-category method to the problem of independent sets, Fund. Math. 81 (1973), 65-72. Zbl0311.54036
  8. [8] S. Mazurkiewicz, Sur les continus indécomposables, Fund. Math. 10 (1927), 305-310. 
  9. [9] S. Mazurkiewicz, Sur les points accessibles des continus indécomposables, Fund. Math. 14 (1929), 107-115. Zbl55.0977.06
  10. [10] R. L. Moore, Concerning triodic continua in the plane, Fund. Math. 13 (1929), 261-263. Zbl55.0978.03
  11. [11] J. T. Rogers, Jr., Borel transversals and ergodic measures on indecomposable continua, to appear. 
  12. [12] G. T. Whyburn, Analytic Topology, AMS Colloq. Publ. 28, Providence 1942. 

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