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On a certain type of homogeneous plane continuum
Author:
F. Burton Jones
Journal:
Proc. Amer. Math. Soc. 6 (1955), 735-740
MSC:
Primary 56.0X
MathSciNet review:
0071761
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References |
Similar Articles |
Additional Information
- [1]
B. Knaster and C. Kuratowski, Problème 2, Fund. Math. vol. 1 (1920) p. 223.
- [2]
Stefan Mazurkiewicz, Sur les continua homogènes, Fund. Math. vol. 5 (1924) pp. 137-146.
- [3]
F.
Burton Jones, A note on homogeneous plane
continua, Bull. Amer. Math. Soc. 55 (1949), 113–114. MR 0028581
(10,468d), http://dx.doi.org/10.1090/S0002-9904-1949-09181-4
- [4]
Herman
J. Cohen, Some results concerning homogeneous plane continua,
Duke Math. J. 18 (1951), 467–474. MR 0040652
(12,729c)
- [5]
F.
Burton Jones, Certain homogeneous unicoherent
indecomposable continua, Proc. Amer. Math.
Soc. 2 (1951),
855–859. MR 0045372
(13,573a), http://dx.doi.org/10.1090/S0002-9939-1951-0045372-4
- [6]
R.
H. Bing, A homogeneous indecomposable plane continuum, Duke
Math. J. 15 (1948), 729–742. MR 0027144
(10,261a)
- [7]
Edwin
E. Moise, A note on the pseudo-arc, Trans. Amer. Math. Soc. 67 (1949), 57–58. MR 0033023
(11,382d), http://dx.doi.org/10.1090/S0002-9947-1949-0033023-X
- [8]
R.
H. Bing and F.
B. Jones, Another homogeneous plane
continuum, Trans. Amer. Math. Soc. 90 (1959), 171–192. MR 0100823
(20 #7251), http://dx.doi.org/10.1090/S0002-9947-1959-0100823-3
- [9]
R.
H. Bing, Concerning hereditarily indecomposable continua,
Pacific J. Math. 1 (1951), 43–51. MR 0043451
(13,265b)
- [10]
L. F. McAuley, On the aposyndetic decomposition of continua, Doctoral Dissertation, University of North Carolina, 1954.
- [11]
F.
Burton Jones, Concerning non-aposyndetic continua, Amer. J.
Math. 70 (1948), 403–413. MR 0025161
(9,606h)
- [12]
R.
H. Bing, Some characterizations of arcs and simple closed
curves, Amer. J. Math. 70 (1948), 497–506. MR 0025722
(10,55a)
- [13]
R.
L. Moore, Foundations of point set theory, Revised edition.
American Mathematical Society Colloquium Publications, Vol. XIII, American
Mathematical Society, Providence, R.I., 1962. MR 0150722
(27 #709)
- [14]
C.
E. Burgess, Some theorems on 𝑛-homogeneous
continua, Proc. Amer. Math. Soc. 5 (1954), 136–143. MR 0061367
(15,814d), http://dx.doi.org/10.1090/S0002-9939-1954-0061367-1
- [1]
- B. Knaster and C. Kuratowski, Problème 2, Fund. Math. vol. 1 (1920) p. 223.
- [2]
- Stefan Mazurkiewicz, Sur les continua homogènes, Fund. Math. vol. 5 (1924) pp. 137-146.
- [3]
- F. B. Jones, A note on homogeneous plane continua, Bull. Amer. Math. Soc. vol. 55 (1949) pp. 113-114. MR 0028581 (10:468d)
- [4]
- H. J. Cohen, Some results concerning homogeneous plane continua, Duke Math. J. vol. 18 (1951) pp. 467-474. MR 0040652 (12:729c)
- [5]
- F. B. Jones, Certain homogeneous unicoherent indecomposable continua, Proc. Amer. Math. Soc. vol. 2 (1951) pp. 855-859. MR 0045372 (13:573a)
- [6]
- R. H. Bing, A homogeneous indecomposable plane continuum, Duke Math. J. vol. 15 (1948) pp. 729-742. MR 0027144 (10:261a)
- [7]
- E. E. Moise, A note on the pseudo-arc, Trans. Amer. Math. Soc. vol. 64 (1949) pp. 57-58. MR 0033023 (11:382d)
- [8]
- R. H. Bing and F. B. Jones, Another homogeneous plane continuum (to appear). MR 0100823 (20:7251)
- [9]
- R. H. Bing, Concerning hereditarily indecomposable continua, Pacific J. Math. vol. 1 (1951) pp. 43-51. MR 0043451 (13:265b)
- [10]
- L. F. McAuley, On the aposyndetic decomposition of continua, Doctoral Dissertation, University of North Carolina, 1954.
- [11]
- F. B. Jones, Concerning non-aposyndetic continua, Amer. J. Math. vol. 70 (1948) pp. 403-413. MR 0025161 (9:606h)
- [12]
- R. H. Bing, Some characterizations of arcs and simple closed curves, Amer. J. Math. vol. 70 (1948) pp. 497-506. MR 0025722 (10:55a)
- [13]
- R. L. Moore, Foundations of point-set theory, Amer. Math. Soc. Colloquium Publications, vol. 13, New York, 1932, Theorem 19, p. 340 and Theorem 2, p. 369; and Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. vol. 27 (1925) pp. 416-428, Theorem 22. MR 0150722 (27:709)
- [14]
- C. E. Burgess, Some theorems on
-homogeneous continua, Proc. Amer. Math. Soc. vol. 5 (1954) pp. 136-143. MR 0061367 (15:814d)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1955-0071761-1
PII:
S 0002-9939(1955)0071761-1
Article copyright:
© Copyright 1955 American Mathematical Society
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