Geodesic
The compression theorem II: directed embeddings
Rourke, Colin1 ; Sanderson, Brian1
1 Mathematics Institute, University of Warwick, Coventry, CV5 7AL, United Kingdom
Geometry & topology, Tome 5 (2001) no. 1, pp. 431-440.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

This is the second of three papers about the Compression Theorem. We give proofs of Gromov’s theorem on directed embeddings and of the Normal Deformation Theorem (a general version of the Compression Theorem).

DOI : 10.2140/gt.2001.5.431
Keywords: compression, flattening, directed embedding, ripple lemma

Rourke, Colin 1 ; Sanderson, Brian 1

1 Mathematics Institute, University of Warwick, Coventry, CV5 7AL, United Kingdom 
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Rourke, Colin; Sanderson, Brian. The compression theorem II: directed embeddings. Geometry & topology, Tome 5 (2001) no. 1, pp. 431-440. doi : 10.2140/gt.2001.5.431. http://geodesic.mathdoc.fr/articles/10.2140/gt.2001.5.431/

[1] M Gromov, Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 9, Springer (1986)

[2] N H Kuiper, On $C^1$–isometric imbeddings I, II, Nederl. Akad. Wetensch. Proc. Ser. A. 58 (1955) 545, 683

[3] C Rourke, B Sanderson, The compression theorem I, Geom. Topol. 5 (2001) 399

[4] C Rourke, B Sanderson, The compression theorem III: Applications, Algebr. Geom. Topol. 3 (2003) 857

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