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Title: Absolute end points of irreducible continua (English)
Author: Charatonik, Janusz J.
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 118
Issue: 1
Year: 1993
Pages: 19-28
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: bend set
Keyword: pairwise smooth continuum
Keyword: contractible continuum
Keyword: curve
Keyword: dendroid
Keyword: fan
Keyword: homotopy
Keyword: pointwise smooth continuum
Keyword: $Q$-point
Keyword: selectible continuum
Keyword: absolute end point
Keyword: arc-like
Keyword: decomposition
Keyword: irreducible
Keyword: locally connected
Keyword: smoth
MSC: 54F15
MSC: 54F50
idZBL: Zbl 0795.54047
idMR: MR1213829
DOI: 10.21136/MB.1993.126017
Date available: 2009-09-24T20:56:40Z
Last updated: 2020-07-29
Stable URL:
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Reference: [2] R. H. Bing: Snake-like continua.Duke Math. J. 18 (1951), 653-663. Zbl 0043.16804, MR 0043450, 10.1215/S0012-7094-51-01857-1
Reference: [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. MR 0345079
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Reference: [7] K. Kuratowski: Topology, vol. II.Academic Press and PWN, 1968. MR 0259835, 10.1016/B978-0-12-429202-4.50011-X
Reference: [8] T. Maćkowiak: On smooth continua.Fund. Math. 85 (1974), 79-95. MR 0365532, 10.4064/fm-85-1-79-95
Reference: [9] I. Rosenholtz: Absolute endpoints of chainable continua.Proc. Amer. Math. Soc. 108 (1988), 1305-1314. Zbl 0655.54024, MR 0955027, 10.1090/S0002-9939-1988-0955027-2
Reference: [10] E. S. Thomas, Jr.: Monotone decomposition of irreducible continua.Dissertationes Math. (Rozprawy Mat.) 50 (1966), 1-74. MR 0196721


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