Infinite Cartesian products and a problem concerning homology local connectedness
HTML articles powered by AMS MathViewer
- by Sibe Mardešić PDF
- Trans. Amer. Math. Soc. 93 (1959), 395-417 Request permission
References
- Edward G. Begle, Locally connected spaces and generalized manifolds, Amer. J. Math. 64 (1942), 553–574. MR 7101, DOI 10.2307/2371704
- V. G. Boltyanskiĭ, Homotopy theory of continuous mappings and of vector fields, Amer. Math. Soc. Transl. (2) 7 (1957), 135–321. MR 0094801, DOI 10.1090/trans2/007/02 R. D. Carmichael, Introduction to the theory of groups of finite order, Boston, Ginn and Co., 1937.
- H. B. Griffiths, A note on commutators in free products. II, Proc. Cambridge Philos. Soc. 51 (1955), 245–251. MR 70634, DOI 10.1017/S0305004100030152
- H. B. Griffiths, Infinite products of semi-groups and local connectivity, Proc. London Math. Soc. (3) 6 (1956), 455–480. MR 80103, DOI 10.1112/plms/s3-6.3.455 —, Generalised manifolds, Seminar in Topology, University of Chicago, 1957, pp. 1-10.
- H. B. Griffiths, Local topological invariants. II, Trans. Amer. Math. Soc. 89 (1958), 201–244. MR 102077, DOI 10.1090/S0002-9947-1958-0102077-X
- 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
- Sibe Mardešić, Comparison of singular and Čech homology in locally connected spaces, Michigan Math. J. 6 (1959), 151–166. MR 105677
- M. H. A. Newman, Local connection in locally compact spaces, Proc. Amer. Math. Soc. 1 (1950), 44–53. MR 33530, DOI 10.1090/S0002-9939-1950-0033530-3 H. Seifert and W. Threlfall, Lehrbuch der Topologie, Leipzig, 1934.
- J. H. C. Whitehead, On the realizability of homotopy groups, Ann. of Math. (2) 50 (1949), 261–263. MR 29172, DOI 10.2307/1969449
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 93 (1959), 395-417
- MSC: Primary 54.00; Secondary 55.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0113216-X
- MathSciNet review: 0113216