The realization of a semisimplicial bundle map is a $k$-bundle map
HTML articles powered by AMS MathViewer
- by S. Weingram
- Trans. Amer. Math. Soc. 127 (1967), 495-514
- DOI: https://doi.org/10.1090/S0002-9947-1967-0231382-7
- PDF | Request permission
References
- M. Barratt, Simplicial and semisimplicial complexes, Mimeographed notes, Princeton University, Princeton, N. J., 1956.
- M. G. Barratt, V. K. A. M. Gugenheim, and J. C. Moore, On semisimplicial fibre-bundles, Amer. J. Math. 81 (1959), 639–657. MR 111028, DOI 10.2307/2372920
- Daniel M. Kan, Functors involving c.s.s. complexes, Trans. Amer. Math. Soc. 87 (1958), 330–346. MR 131873, DOI 10.1090/S0002-9947-1958-0131873-8
- John Milnor, On spaces having the homotopy type of a $\textrm {CW}$-complex, Trans. Amer. Math. Soc. 90 (1959), 272–280. MR 100267, DOI 10.1090/S0002-9947-1959-0100267-4
- John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 84138, DOI 10.2307/1969967
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258, DOI 10.1515/9781400883875
- Albrecht Dold and René Thom, Quasifaserungen und unendliche symmetrische Produkte, Ann. of Math. (2) 67 (1958), 239–281 (German). MR 97062, DOI 10.2307/1970005 R. Thom, L’homologie des espaces fonctionnels, Colloq. Algébrique Topologie, Louvain, 1956.
- V. K. A. M. Gugenheim, On supercomplexes, Trans. Amer. Math. Soc. 85 (1957), 35–51. MR 86299, DOI 10.1090/S0002-9947-1957-0086299-1
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
- E. Spanier, Infinite symmetric products, function spaces, and duality, Ann. of Math. (2) 69 (1959), 142–198[ erratum, 733. MR 105106, DOI 10.2307/1970099
- N. Bourbaki, Éléments de mathématique. X. Première partie: Les structures fondamentales de l’analyse. Livre III: Topologie générale. Chapitre X: Espaces fonctionnels; dictionnaire, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1084, Hermann & Cie, Paris, 1949 (French). MR 0035980
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 127 (1967), 495-514
- MSC: Primary 55.50
- DOI: https://doi.org/10.1090/S0002-9947-1967-0231382-7
- MathSciNet review: 0231382