# Absolute end points of irreducible continua

Mathematica Bohemica (1993)

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

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topCharatonik, 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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- G. R. Gordh, Jr., On decomposition of smooth continua, Fund. Math. 75(1972), 51-60. (1972) MR0317299
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- K. Kuratowski, Topology, vol. II, Academic Press and PWN, 1968. (1968) MR0259835
- T. Maćkowiak, On smooth continua, Fund. Math. 85 (1974), 79-95. (1974) MR0365532
- 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
- E. S. Thomas, Jr., Monotone decomposition of irreducible continua, Dissertationes Math. (Rozprawy Mat.) 50 (1966), 1-74. (1966) MR0196721

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