Geodesic
The Stable Homeomorphism Conjecture in Dimension Four—An Equivalent Conjecture
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 238-242

Voir la notice de l'article provenant de la source Cambridge University Press

The stable homeomorphism conjecture in dimension n,SHC (n), says that every orientation preserving homeomorphism of Sn is stable, i.e. can be written as the composition of homeomorphisms, each of which are the identity on some open set. This is equivalent to the homeomorphism being isotopic to the identity [6]. Call a homeomorphism k-stable if it is isotopic to a homeomorphism which is the identity on Sk ⊂ Sn. 
Friberg, Bjorn. The Stable Homeomorphism Conjecture in Dimension Four—An Equivalent Conjecture. Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 238-242. doi: 10.4153/CJM-1978-022-0
@article{10_4153_CJM_1978_022_0,
     author = {Friberg, Bjorn},
     title = {The {Stable} {Homeomorphism} {Conjecture} in {Dimension} {Four{\textemdash}An} {Equivalent} {Conjecture}},
     journal = {Canadian journal of mathematics},
     pages = {238--242},
     year = {1978},
     volume = {30},
     number = {2},
     doi = {10.4153/CJM-1978-022-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-022-0/}
}
TY  - JOUR
AU  - Friberg, Bjorn
TI  - The Stable Homeomorphism Conjecture in Dimension Four—An Equivalent Conjecture
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 238
EP  - 242
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-022-0/
DO  - 10.4153/CJM-1978-022-0
ID  - 10_4153_CJM_1978_022_0
ER  - 
%0 Journal Article
%A Friberg, Bjorn
%T The Stable Homeomorphism Conjecture in Dimension Four—An Equivalent Conjecture
%J Canadian journal of mathematics
%D 1978
%P 238-242
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-022-0/
%R 10.4153/CJM-1978-022-0
%F 10_4153_CJM_1978_022_0

[1] 1. Cernavskii, A. V., Homeomorphisms of Rn are k-stable for k S n — 3, Mat. Sb. 70 (112) (1966) ; Amer. Math. Soc. Transi. (2) 75 (1968) 605–606. Google Scholar

[2] 2. Cernavskii, A. V., k-stability of homeomorphisms and the union of cells, Soviet Math. Dokl. 9 (1968), 729–732. Google Scholar

[3] 3. Edwards, R. D. and Kirby, R. C., Deformations of spaces of embeddings, Ann. of Math. 03 (1971), 63–88. Google Scholar

[4] 4. Friberg, B., Canonical isotopies in Euclidean space, Israel J. Math. 16 (1973), 398–403. Google Scholar

[5] 5. Friberg, B., Bounded homeomorphisms in Euclidean space to appear. Google Scholar

[6] 6. Kirby, R. C., Stable homeomorphisms and the annulus conjecture, Ann. of Math. 89 (1969), 575–582. Google Scholar

[7] 7. Wright, P., A uniform generalized Schoenflies theorem, Ann. of Math. 89 (1969), 292–304. Google Scholar

Cité par Sources :