THE LEFSCHETZ NUMBER OF AN n-VALUED MULTIMAP

Robert F. Brown (U. S. A.)

Received January 19, 2007

References:

[1] C. Berge, Topological Spaces, Oliver & Boyd, 1963. [2] R. Brown, The Lefschetz Fixed Point Theorem, Scott Foresman, 1971. [3] R. Brown, Fixed points of n-valued multimaps of the circle, Bull. Pol. Acad. Sci. Math. 54 (2006), 153-162. [4] B. O’Neill, Induced homology homomorphisms for set-valued maps, Pacific J. Math. 7 (1957), 1179-1184. [5] H. Schirmer, Fix-finite approximations of n-valued multifunctions, Fund. Math. 121 (1984), 73-80. [6] H. Schirmer, An index and Nielsen number for n-valued multifunctions, Fund. Math. 124 (1984), 207-219. [7] H. Schirmer, A minimum theorem for n-valued multifunctions, Fund. Math. 126 (1985), 83-92.

Keywords and phrases: n-valued multimap, simplicial approximation, Lefschetz fixed point theorem, Nielsen number.