Volume 10, issue 2 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Nonstabilized Nielsen coincidence invariants and Hopf–Ganea homomorphisms

Ulrich Koschorke

Geometry & Topology 10 (2006) 619–666
Bibliography
1 M F Atiyah, R Bott, A Shapiro, Clifford modules, Topology 3 (1964) 3 MR0167985
2 S A Bogatyĭ, D L Gonçalves, Z H., Coincidence theory: the minimization problem, Tr. Mat. Inst. Steklova 225 (1999) 52 MR1725933
3 R B S Brooks, On removing coincidences of two maps when only one, rather than both, of them may be deformed by a homotopy, Pacific J. Math. 40 (1972) 45 MR0341470
4 R F Brown, Wecken properties for manifolds, from: "Nielsen theory and dynamical systems (South Hadley, MA, 1992)", Contemp. Math. 152, Amer. Math. Soc. (1993) 9 MR1243467
5 R F Brown, H Schirmer, Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary, Topology Appl. 46 (1992) 65 MR1177164
6 O Cornea, New obstructions to the thickening of CW–complexes, Proc. Amer. Math. Soc. 132 (2004) 2769 MR2054804
7 O Cornea, G Lupton, J Oprea, D Tanré, Lusternik–Schnirelmann category, Mathematical Surveys and Monographs 103, American Mathematical Society (2003) MR1990857
8 A Dold, D L Gonçalves, Self-coincidence of fibre maps, Osaka J. Math. 42 (2005) 291 MR2147735
9 L Fernández-Suárez, A Gómez-Tato, D Tanré, Hopf–Ganea invariants and weak LS category, Topology Appl. 115 (2001) 305 MR1848131
10 T Ganea, A generalization of the homology and homotopy suspension, Comment. Math. Helv. 39 (1965) 295 MR0179791
11 M J Greenberg, J R Harper, Algebraic topology, Mathematics Lecture Note Series 58, Benjamin/Cummings Publishing Co. Advanced Book Program (1981) MR643101
12 A Hatcher, F Quinn, Bordism invariants of intersections of submanifolds, Trans. Amer. Math. Soc. 200 (1974) 327 MR0353322
13 P J Hilton, On the homotopy groups of the union of spheres, J. London Math. Soc. 30 (1955) 154 MR0068218
14 J Jezierski, The least number of coincidence points on surfaces, J. Austral. Math. Soc. Ser. A 58 (1995) 27 MR1313883
15 B Jiang, Fixed points and braids, Invent. Math. 75 (1984) 69 MR728139
16 B J Jiang, Fixed points and braids II, Math. Ann. 272 (1985) 249 MR796251
17 U Koschorke, Vector fields and other vector bundle morphisms—a singularity approach, Lecture Notes in Mathematics 847, Springer (1981) MR611333
18 U Koschorke, Coincidence theory in arbitrary codimensions: the minimizing problem, Oberwolfach Reports (2004)
19 U Koschorke, Linking and coincidence invariants, Fund. Math. 184 (2004) 187 MR2128050
20 U Koschorke, Selfcoincidences in higher codimensions, J. Reine Angew. Math. 576 (2004) 1 MR2099198
21 U Koschorke, Geometric and homotopy theoretic methods in Nielsen coincidence theory, Fixed Point Theory and Appl. to appear (2006)
22 U Koschorke, Nielsen coincidence theory in arbitrary codimensions, J. Reine Angew. Math., to appear (2006) arXiv:math.AT/0408044
23 U Koschorke, B Sanderson, Geometric interpretations of the generalized Hopf invariant, Math. Scand. 41 (1977) 199 MR0474289
24 G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508
25 A Wyler, Sur certaines singularités d'applications de variétés topologiques, Comment. Math. Helv. 42 (1967) 28 MR0214075