Volume 3, issue 2 (2003)

Download this article
For printing
Recent Issues

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
The compression theorem III: applications

Colin Rourke and Brian Sanderson

Algebraic & Geometric Topology 3 (2003) 857–872
Bibliography
1 J M Boardman, Singularities of differentiable maps, Inst. Hautes Études Sci. Publ. Math. (1967) 21 MR0231390
2 J M Èliašberg, Surgery of singularities of smooth mappings, Izv. Akad. Nauk SSSR Ser. Mat. 36 (1972) 1321 MR0339261
3 M L Gromov, J M Èliašberg, Construction of nonsingular isoperimetric films, Trudy Mat. Inst. Steklov. 116 (1971) 18, 235 MR0388445
4 R Fenn, C Rourke, B Sanderson, James bundles, Proc. London Math. Soc. $(3)$ 89 (2004) 217 MR2063665
5 M Gromov, Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 9, Springer (1986) MR864505
6 M W Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959) 242 MR0119214
7 I M James, Reduced product spaces, Ann. of Math. $(2)$ 62 (1955) 170 MR0073181
8 U Koschorke, Vector fields and other vector bundle morphisms – a singularity approach, Lecture Notes in Mathematics 847, Springer (1981) MR611333
9 U Koschorke, B Sanderson, Self-intersections and higher Hopf invariants, Topology 17 (1978) 283 MR508891
10 R K Lashof, S Smale, Self-intersections of immersed manifolds, J. Math. Mech. 8 (1959) 143 MR0101522
11 J P May, The geometry of iterated loop spaces, Lectures Notes in Mathematics 271, Springer (1972) MR0420610
12 R J Milgram, Iterated loop spaces, Ann. of Math. $(2)$ 84 (1966) 386 MR0206951
13 C Rourke, B Sanderson, Equivariant configuration spaces, J. London Math. Soc. $(2)$ 62 (2000) 544 MR1783643
14 C Rourke, B Sanderson, The compression theorem I, Geom. Topol. 5 (2001) 399 MR1833749
15 C Rourke, B Sanderson, The compression theorem II: Directed embeddings, Geom. Topol. 5 (2001) 431 MR1833750
16 C Rourke, B Sanderson, The compression theorem I, Geom. Topol. 5 (2001) 399 MR1833749
17 G Segal, Configuration-spaces and iterated loop-spaces, Invent. Math. 21 (1973) 213 MR0331377
18 S Smale, The classification of immersions of spheres in Euclidean spaces, Ann. of Math. $(2)$ 69 (1959) 327 MR0105117
19 A Varley, Controlling tangencies from the global viewpoint, PhD thesis, University of Warwick (2003)