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Matematicheskie Zametki, 2008, Volume 84, Issue 5, Pages 643–657
DOI: https://doi.org/10.4213/mzm3896 (Mi mzm3896) 		 
Lefschetz Numbers for Maps of Fiber Spaces

D. V. Artamonov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm3896
Abstract: Expressions for the Lefschetz numbers of maps of fiber spaces in terms of those of maps of the fibers and the base are obtained. A similar problem is considered for Lefschetz coincidence numbers.
Keywords: Lefschetz number, map of fiber spaces, Euler characteristic, Leray sheaf, Lefschetz coincidence number, spectral sequence, CW-complex, Poincaré duality.
Received: 23.07.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 601–614
DOI: https://doi.org/10.1134/S0001434608110011
Bibliographic databases:
UDC: 515.142.22
Language: Russian
Citation: D. V. Artamonov, “Lefschetz Numbers for Maps of Fiber Spaces”, Mat. Zametki, 84:5 (2008), 643–657; Math. Notes, 84:5 (2008), 601–614
Citation in format AMSBIB
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