Absolute end points of irreducible continua

Janusz Jerzy Charatonik

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 1, page 19-28
  • ISSN: 0862-7959

Abstract

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A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.

How to cite

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Charatonik, Janusz Jerzy. "Absolute end points of irreducible continua." Mathematica Bohemica 118.1 (1993): 19-28. <http://eudml.org/doc/29171>.

@article{Charatonik1993,
abstract = {A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.},
author = {Charatonik, Janusz Jerzy},
journal = {Mathematica Bohemica},
keywords = {bend set; pairwise smooth continuum; contractible continuum; curve; dendroid; fan; homotopy; pointwise smooth continuum; $Q$-point; selectible continuum; absolute end point; arc-like; decomposition; irreducible; locally connected; smoth; bend set; pairwise smooth continuum; contractible continuum; curve; dendroid; fan; homotopy; pointwise smooth continuum; -point; - continuum; selectible continuum; type ; absolute end point},
language = {eng},
number = {1},
pages = {19-28},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Absolute end points of irreducible continua},
url = {http://eudml.org/doc/29171},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Charatonik, Janusz Jerzy
TI - Absolute end points of irreducible continua
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 1
SP - 19
EP - 28
AB - A concept of an absolute end point introduced and studied by Ira Rosenholtz for arc-like continua is extended in the paper to be applied arbitrary irreducible continua. Some interrelations are studied between end points, absolute end points and points at which a given irreducible continuum is smooth.
LA - eng
KW - bend set; pairwise smooth continuum; contractible continuum; curve; dendroid; fan; homotopy; pointwise smooth continuum; $Q$-point; selectible continuum; absolute end point; arc-like; decomposition; irreducible; locally connected; smoth; bend set; pairwise smooth continuum; contractible continuum; curve; dendroid; fan; homotopy; pointwise smooth continuum; -point; - continuum; selectible continuum; type ; absolute end point
UR - http://eudml.org/doc/29171
ER -

References

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  1. R. H. Bing, 10.2140/pjm.1951.1.43, Pacific J. Math 1 (1951), 43-51. (1951) Zbl0043.16803MR0043451DOI10.2140/pjm.1951.1.43
  2. R. H. Bing, 10.1215/S0012-7094-51-01857-1, Duke Math. J. 18 (1951), 653-663. (1951) Zbl0043.16804MR0043450DOI10.1215/S0012-7094-51-01857-1
  3. J. J. Charatonik, On irreducible smooth continua, Topology and its Applications II. Proc. International Symposium on Topology and its Applications, Budva 1972 (Beograd 1973), 45-50. (1972) MR0345079
  4. J. J. Charatonik, T. Maćkowiak, 10.1216/RMJ-1987-17-2-385, Rocky Mountain J. Math. 17 (1987), 385-391. (1987) MR0892465DOI10.1216/RMJ-1987-17-2-385
  5. G. R. Gordh, Jr., On decomposition of smooth continua, Fund. Math. 75(1972), 51-60. (1972) MR0317299
  6. G. R. Gordh, Jr., Concerning closed quasi-orders on hereditarily unicoherent continua, Fund. Math. 78 (1973), 61-73. (1973) Zbl0253.54031MR0322835
  7. K. Kuratowski, Topology, vol. II, Academic Press and PWN, 1968. (1968) MR0259835
  8. T. Maćkowiak, On smooth continua, Fund. Math. 85 (1974), 79-95. (1974) MR0365532
  9. I. Rosenholtz, 10.1090/S0002-9939-1988-0955027-2, Proc. Amer. Math. Soc. 108 (1988), 1305-1314. (1988) Zbl0655.54024MR0955027DOI10.1090/S0002-9939-1988-0955027-2
  10. E. S. Thomas, Jr., Monotone decomposition of irreducible continua, Dissertationes Math. (Rozprawy Mat.) 50 (1966), 1-74. (1966) MR0196721

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