Pacific Journal of Mathematics

Noncoincidence index, free group actions, and the fixed point property for manifolds.

Michael Hoffman

Source: Pacific J. Math. Volume 136, Number 1 (1989), 129-144.

Primary Subjects: 55M20
Secondary Subjects: 57M35, 57N65, 57S17

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102650848
Zentralblatt MATH identifier: 0707.55001
Mathematical Reviews number (MathSciNet): MR971939

References

[I] E. Fadell, On a coincidence theorem ofF. B. Fuller, Pacific J. Math., 15 (1965), 825-834.
Mathematical Reviews (MathSciNet): MR33:6619
Zentralblatt MATH: 0136.20203
[2] E. Fadell, Recent results in the fixed point theory of continuous maps, Bull. Amer. Math. Soc, 76(1970), 10-29.
Mathematical Reviews (MathSciNet): MR42:6816
Zentralblatt MATH: 0206.25003
[3] F. B. Fuller, The existence of periodic points, Ann. of Math., (2) 57 (1953), 229-230.
Mathematical Reviews (MathSciNet): MR14:669f
Zentralblatt MATH: 0050.17203
[4] H. Glover and W. Homer, Endomorphisms of the cohomology rings of finite Grassmann manifolds, Lecture Notes in Math., vol. 657, Springer-Verlag, New York, 1978, pp. 179-183.
Mathematical Reviews (MathSciNet): MR80e:55003
Zentralblatt MATH: 0385.57011
[5] H. Glover and W. Homer, Self maps of flag manifolds, Trans. Amer. Math. Soc, 267 (1981), 423- 434.
Mathematical Reviews (MathSciNet): MR83b:55009
Zentralblatt MATH: 0479.55014
[6] H. Glover and W. Homer, Fixed points on flag manifolds, Pacific J. Math., 101 (1982), 303-306.
Mathematical Reviews (MathSciNet): MR84e:55002
Zentralblatt MATH: 0458.55002
[7] H. Glover, W. Homer and R. Stong, Splitting the tangent bundle ofprojective space, Indiana U. Math. J., 31 (1982), 161-166.
Mathematical Reviews (MathSciNet): MR83f:57016
Zentralblatt MATH: 0454.57013
[8] B. Halpern, Fixed points for iterates, Pacific J. Math., 25 (1968), 255-275.
Mathematical Reviews (MathSciNet): MR41:1039
Zentralblatt MATH: 0157.30201
[9] M. Hoffman, On fixed point free maps of the complex flag manifold, Indiana U. Math. J., 33 (1984), 249-255.
Mathematical Reviews (MathSciNet): MR85j:57062
Zentralblatt MATH: 0506.55003
[10] M. Hoffman, Noncoincidence index of manifolds, Pacific J. Math., 115 (1984), 373- 383.
Mathematical Reviews (MathSciNet): MR86a:55001
Zentralblatt MATH: 0558.55003
[II] M. Hoffman, Homological restrictions onfree group actions, Indiana U. Math. J. (to appear).
Mathematical Reviews (MathSciNet): MR89k:57079
Zentralblatt MATH: 0664.57017
[12] M. Hoffman and W. Homer, On cohomology automorphisms of complex flag manifolds, Proc. Amer. Math. Soc, 91 (1984), 643-648.
Mathematical Reviews (MathSciNet): MR85m:57028
Zentralblatt MATH: 0604.57029
[13] J. M. Kister, Microbundles are fiber bundles, Annals of Math., (2) 80 (1964), 190-199.
Mathematical Reviews (MathSciNet): MR31:5216
Zentralblatt MATH: 0131.20602
[14] C. McGibbon, Self maps of projective spaces, Trans. Amer. Math. Soc, 271 (1982), 325-346.
Mathematical Reviews (MathSciNet): MR83h:55007
Zentralblatt MATH: 0491.55014
[15] J. W. Milnor, Microbundles, Part I, Topology, 3 Suppl. 1 (1964), 53-80.
Mathematical Reviews (MathSciNet): MR28:4553b
Zentralblatt MATH: 0131.20602
[16] S. Papadima, Rigidity properties of compact Lie groups modulo maximal tori, Math. Annalen, 275 (1986), 637-652.
Mathematical Reviews (MathSciNet): MR88b:53063
Zentralblatt MATH: 0585.57023
[17] H. Samelson, On small maps of manifolds, Pacific J. Math., 15 (1965), 1401- 1403.
Mathematical Reviews (MathSciNet): MR33:722
Zentralblatt MATH: 0151.31901
[18] H. Shiga and M. Tezuka, Cohomology automorphisms of some homogeneous spaces, Topology Appl., 25 (1987), 143-150.
Mathematical Reviews (MathSciNet): MR88f:55026
Zentralblatt MATH: 0623.57031

2009 © Pacific Journal of Mathematics