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Infinite Cartesian products and a problem concerning homology local connectedness
Author:
Sibe Mardešić
Journal:
Trans. Amer. Math. Soc. 93 (1959), 395-417
MSC:
Primary 54.00; Secondary 55.00
MathSciNet review:
0113216
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Edward
G. Begle, Locally connected spaces and generalized manifolds,
Amer. J. Math. 64 (1942), 553–574. MR 0007101
(4,87f)
- [2]
V.
G. Boltyanskiĭ, Homotopy theory of continuous mappings and
of vector fields, Amer. Math. Soc. Transl. (2) 7
(1957), 135–321. MR 0094801
(20 #1313)
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R. D. Carmichael, Introduction to the theory of groups of finite order, Boston, Ginn and Co., 1937.
- [4]
H.
B. Griffiths, A note on commutators in free products. II,
Proc. Cambridge Philos. Soc. 51 (1955), 245–251. MR 0070634
(17,11b)
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H.
B. Griffiths, Infinite products of semi-groups and local
connectivity, Proc. London Math. Soc. (3) 6 (1956),
455–480. MR 0080103
(18,192c)
- [6]
-, Generalised manifolds, Seminar in Topology, University of Chicago, 1957, pp. 1-10.
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H.
B. Griffiths, Local topological invariants.
II, Trans. Amer. Math. Soc. 89 (1958), 201–244. MR 0102077
(21 #872), http://dx.doi.org/10.1090/S0002-9947-1958-0102077-X
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A.
G. Kurosh, The theory of groups, Chelsea Publishing Co., New
York, 1960. Translated from the Russian and edited by K. A. Hirsch. 2nd
English ed. 2 volumes. MR 0109842
(22 #727)
- [9]
Sibe
Mardešić, Comparison of singular and Čech
homology in locally connected spaces, Michigan Math. J.
6 (1959), 151–166. MR 0105677
(21 #4415)
- [10]
M.
H. A. Newman, Local connection in locally compact
spaces, Proc. Amer. Math. Soc. 1 (1950), 44–53. MR 0033530
(11,453b), http://dx.doi.org/10.1090/S0002-9939-1950-0033530-3
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H. Seifert and W. Threlfall, Lehrbuch der Topologie, Leipzig, 1934.
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J.
H. C. Whitehead, On the realizability of homotopy groups, Ann.
of Math. (2) 50 (1949), 261–263. MR 0029172
(10,560a)
- [1]
- E. G. Begle, Locally connected spaces and generalized manifolds, Amer. J. Math. vol. 64 (1942) pp. 553-574. MR 0007101 (4:87f)
- [2]
- V. G. Boltjanskii, Homotopy theory of continuous mappings and of vector fields, Amer. Math. Soc. Translations, Ser. 2 vol. 7, 1957. MR 0094801 (20:1313)
- [3]
- R. D. Carmichael, Introduction to the theory of groups of finite order, Boston, Ginn and Co., 1937.
- [4]
- H. B. Griffiths, A note on commutators in free products. II, Proc. Cambridge Philos. Soc. vol. 51 (1955) pp. 245-251. MR 0070634 (17:11b)
- [5]
- -, Infinite products of semi-groups and local connectivity, Proc. London Math. Soc. vol. 6 (1956) pp. 455-480. MR 0080103 (18:192c)
- [6]
- -, Generalised manifolds, Seminar in Topology, University of Chicago, 1957, pp. 1-10.
- [7]
- -, Local topological invariants. II, Trans. Amer. Math. Soc. vol. 89 (1958) pp. 201-244. MR 0102077 (21:872)
- [8]
- A. G. Kurosh, The theory of groups, vol. 1, New York, Chelsea, 1955. MR 0109842 (22:727)
- [9]
- S. Mardešić, Comparison of singular and Čech homology in locally connected spaces, Michigan Math. J. vol. 6. (1959) pp. 151-166. MR 0105677 (21:4415)
- [10]
- M. H. A. Newman, Local connection in locally compact spaces, Proc. Amer. Math. Soc. vol. 1 (1950) pp. 44-53. MR 0033530 (11:453b)
- [11]
- H. Seifert and W. Threlfall, Lehrbuch der Topologie, Leipzig, 1934.
- [12]
- J. H. C. Whitehead, On the realizability of homotopy groups, Ann. of Math. vol. 50 (1949) pp. 261-263. MR 0029172 (10:560a)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1959-0113216-X
PII:
S 0002-9947(1959)0113216-X
Article copyright:
© Copyright 1959 American Mathematical Society
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