PUBLICATIONS AND PREPRINTS
l.
Homotopy and isotopy properties of
topological spaces.
Canadian J. Math. 16 (1964), 561-571.
2. (with N. J. Rothman) Contractibility of
certain semigroups.
Bull, Amer. Math. Soc. 70 (1964), 756-757.
3. A new invariant of homotopy type and some diverse
applications
Bull. Amer. Math. Soc. 71 (1965), 517-518.
4. A certain
subgroup of the fundamental group.
Amer. J. Math. 87 (1965), 840-856.
6. On fibre spaces
and the evaluation map.
Annals of Math. 87
(1968), 42-55.
7
Covering transformations and universal
fibrations.
Ill. J. Math. 13 (1969), 432-438.
12. Applications of bundle map
theory.
Trans. Amer. Math. Soc. 171 (1972), 23-50.
13. Homology tangent bundles and
universal bundles.
Proc. Amer. Math Soc.
36 (1972), 246-252.
14
Witnesses, transgression, and the evaluation map.
Indiana Math. J. 24 (1975), 825-836.
15.
The total space of universal fibrations.
Pacific J. Math. 46
(1973), 415-417.
16
(with J. C.
Becker) Coverings of fibrations.
Compositio Mathematica 26 (1973), 119-128.
17
Fibre bundles and the Euler characteristic.
J. Differential Geometry 10 (1975), 39-48.
18. (with J. C. Becker) The
transfer maps and fibre bundles.
Topology 14 (1975), 1-12.
19
(with J. C. Becker) Applications of the evaluation
map and transfer map theorems.
Math. Ann. 211 (1974), 277-288.
20. (with Andrew Casson)
Fibrations with compact fibres.
Amer. J. Math. 99 (1977), 159-189.
21
(with J. C. Becker and Andrew Casson) The Lefschetz
number and fibre preserving maps.
Bull. Amer. Math. Soc.
81 (1975), 425-427.
22
(with J. C. Becker) Transfer maps for fibrations and duality.
Compositio Mathematica 33 (1976), 107-133.
23
Fibre bundles with cross-sections and non-collapsing spectral
sequences.
Ill. J. Math. 21 (1977), 176-177.
24
Fibering suspensions.
Houston J. of Math. 4 (1978), 49-65.
25
Partial Transfers.
Geometric Applications of Homotopy Theory
I. (1977)
Lecture notes in Mathematics, #657,
Springer Verlag, 255-266.
25x;
partial transfer hand written addendum
26.
Lifting actions in fibrations.
Geometric Applications of Homotopy Theory
I. (1977)
Lecture notes in Mathematics, #657,
Springer Verlag, 217-254.
27. Poincare Duality and
fibrations.
Proceedings of the American Mathematical
Society 76 (1979), 148-150.
28. The Lefschetz number and Borsuk
Ulam Theorems.
Pac. Journal 103 (1982), 29-37.
29. Transfers, centers, and group
cohomology.
Proc. A.M.S. 40
(1983), 157-162.
30. (with K. B. Lee and M.
Ozaydin) Compact group actions and maps into
K(\pi,1)-spaces.
Trans. of A.M.S.
287 (1985), 419-429.
31 . The trace of an action and the degree of a map.
Trans. of A.M.S. 293 (1986), 381-410.
32
On realizing Nakaoka's coincidence point transfer as an
S-map.
Illinois J. of Math. 30 (1986), 689-695.
33 . Robots and fibre bundles.
Bulletin de la Societe Mathematique de
Belgique, 38 (1988), 219-223.
34. Robots and Topology,
Proceedings 1986 IEEE International
Conferenceon robotics and Automation, Volume 3,
pp. 1689-1691.
35 . Topology and the Robot Arm.
Acta Applicandae Mathematicae 11 (1988),
117-121.
36.
A de Moivre formula for
fixed Point Theory,
ATAS do 5 au Encontro Brasiliero de
Topologia.
Universidade de Sao Paulo, Sao Carlos, S.P.
Brasil 31 (1988), 59-67.
37. A de Moivre like formula for fixed
point theory.
Proceedings of the Fixed Point Theory
Seminar at the 1986 International Congress of Mathematicians,
R.F. Brown (editor), Contemporary
Mathematics, Vol. 72, 99-106, AMS Providence, Rhode Island.
38
On the index of
pullback vector fields. Proc. of
the 2nd Siegen
Topology Symposium, August 1987, Ulrich
Koschorke (editor), Lecture Notes of Mathematics,
Vol. 1350, 167-170, Springer Verlag, New
York City, NY.
39
Splitting off tori and the evaluation subgroup of the
fundamental group.
Israel J. of Math., 66 (1988), 216-222.
40. Zeroes of pullback vector
fields and fixed point theory for bodies.
Algebraic Topology, Proc. of Intl. Conf.
March 21-24, 1988,
Contemporary Mathematics, 96, 163-180.
41
(with Giora Dula)
Splitting off H-spaces and Conner-Raymond
Splitting Theorem. J. Fac. Sci. Univ.
Tokyo, Sec IA, 37 (1990), 321-334.
42. (with J.C. Becker) Vector
fields and transfers.
Manuscripta Mathematica, 72 (1991), 111-130.
43. Lectures on Vector Fields and the Unity
of Mathematics.
Proceedings
of the Topology and Geometry Research Center,
ed. Jin Suk Pak and Chan-Young, 3 (1993),
87-114.
44. (with Murad Ozaydin)
Intersection Numbers, Transfers, and Group Actions.
Topology and its Applications, 55 (1994),
87-100.
45. (with Murad Ozaydin) Group
Actions and the Singular Set.
Topology and its Applications, 52 (1993),
51-59.
46. Vector Fields and Classical
Theorems of Topology.
Rendiconti del Seminario Matematico e
Fisico, Milano, 60 (1990), 193-203.
47. (with Geetha Samaranayake)
The Index of Discontinuous Vector Fields.
New York Journal of Mathematics, 1
(1994-95), 130-148.
48. A Gravitational Lens
Need
Not Produce an Odd Number of Images.
J. Mathematical Physics, 35 (1994),
5507-5510.
49. The Odd Image Theorem,
Proceedings of the 7th Marcel Grossman
Relativity Conference on Relativity,
Stanford, July 1994, Part B; ed. R. T.
Jantzen and G. Mac Keiser:
World Scientific, New
Jersey; 1141-1143.
50. All the Way with
Gauss-Bonnet and the Sociology of Mathematics.
American Mathematical Monthly, 103 (1996),
457-469.
50n Note on All The Way With
Gauss-Bonnet and the Sociology of Mathematics.
American Math Monthly
51. Skew Symmetric Bundle Maps.
Contemporary Mathematics, 220 (1998),
117-141.
52. (with James C. Becker)
Spaces of Local Vector Fields.
Proceedings of the Vassar Conference
Honoring Stasheff's 60th birthday,
January 20, 1997, Comtemporary Mathematics,
227 (1999), 21-28.
53. (with James C. Becker) A
History of Duality in Algebraic Topology.
Chapter 25 of History of Topology, I. M.
James, ed., Elsevier, Amsterdam, 1999, 725-745.
54. Becker-Gottlieb Transfer,
Encyclopedia of
Mathematics suppliment, Volume I,
Ed. in chief M.
Hasewinkel, Kluwer Acad. Publishers, (1997), 89-90.
55. Book review of "Poincare and
the Three Body Problem" by June Barrow-Green.
The American Mathematical Monthly,
106 (1999), 977-980.
56. The Sullivan conjecture.
Encyclopedia of Mathematics Supp.,
vol.-2., Ed. in chief M. Hasewinkel,
Kluwer Acad. Publishers, (2000),
440-441.
57. Topology and the
Non-existence of Magnetic Monopoles,
CUBO Matematica
Educacional, Vol. 2 (May 2000), 101-121.
58. Fields of Lorentz
transformations on Space-Time.
Fixed Point Conference, Sao Paulo
(1999),
Topology and its Applications, 116,
(2001), 102-122.
59. Eigenbundles, Quaternions, and
Berry's Phase.
Preprint:
math.AT/0304281
60. Transfers and Periodic
Orbits of Homeomorphisms. math-AT 0408403 (very similar to Transfers
and Periodic
Orbits of Homeomorphisms ala Bo Ju Jiang,
Proceedings of the International
Conference
on Homotopy Theory and Related
Topics, Seoul February 2-4 , 2004, Institute of
of Science and Technology, Korea
University, pp. 1--7)
61. Maxwell's Equations, Preprint: ArXiv:math-ph /0409001
62. (with Chen-Farng Benjamin)
Fixed Point Indices and Manifolds with Collars, Journal of Fixed Point
Theory and Applications, vol.2006
Article ID 87657, 8 pages, 2006.
Preprint:arXiv math.AT/0505230
63. Self Coincidence
Numbers and the Fundamental Group, The Journal of Fixed Point Theory and Applications (to appear),
Preprint: arXiv:math.AT/0702236v2