The Nielsen fixed point theory for noncompact spaces

Rocky Mountain Journal of Mathematics

Volumn 4, Issue 1, 1974, Pages 81-87

  Kurt Scholz, U ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009373939     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/RMJ-1974-4-1-81     Document Type: Article

References (15)

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3. F. Browder, Asymptotic fixed point theorems, Math. Ann. 185 (1970), 38-61.
4. F. E. Browder and W. V. Petryshyn, Noncompact operators in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 641-646.
5. R. F. Brown, The Lefschetz fixed point Theorem, Scott, Foresman and Company (1971).
6. R. F. Brown, An elementary proof of the uniqueness of the fixed point index, Pac. J. Math. 35 (1971), 549-559.
7. R. F. Brown, On the Nielsen fixed point theorem for compact maps, Duke Math. J. 36 (1969), 699-708.
8. A. Dold, Fixed point index and fixed point theorem for Euclidean neighbourhood retracts, Topology 4 (1965), 1-8.
9. A. Gramas, Generalizing the Hopf-Lefschetz fixed point theorem for noncompact ANR-s, Symposium on Infinite Dimensional Topology, Baton-Rouge, 1967.
10. J. Leray, Theorie des pointes fixes: indice total et nombre de Lef schetz, Bull. Soc. Math. France, 87 (1959), 221-233.
11. J. Nielsen, Untersuchung zur Topologie der geschlossenen zweiseitigen Fldchen, Acta Math. 50 (1927), 189-358.
12. R. Nussbaum, The fixed point index for k-set contractions, Doct. Diss., Univ. of Chicago, 1969.
13. B. O’Neill, Essential sets and fixed points, Amer. J. Math. 75 (1953), 497-509.
14. U. K. Seholz, The Nielsen Theory on fixed point classes for Palais maps, Doct. Diss., U.C.L.A., 1970.
15. R. Wecken, Fixpunktklassen I, II, Math. Ann. 117 (1941), 659-671; Math. Ann. 118 (1941), 216-234.