TY - JOUR
T1 - Diffeomorphisms of a product of spheres and embedded spheres
AU - Lucas, Laércio Aparecido
AU - Saeki, Osamu
N1 - Funding Information:
*Corresponding author. The second author has been supported in part by Grant-in-Aid for Scientific Research (No. 11440022), Ministry of Education, Science and Culture, Japan, and also by Sumitomo Science Foundations (No. 980111). E-mail addresses: llucas@siteplanet.com.br (L.A. Lucas), saeki@math.sci.hiroshima-u.ac.jp (O. Saeki).
PY - 2002/9/30
Y1 - 2002/9/30
N2 - Let M be the product of n copies of the p-dimensional sphere Sp with p≥1 and n≥2. In this paper we completely determine those automorphisms of Hp(M;ℤ)≅ℤn which can be realized by a diffeomorphism of M. As an application, we completely classify smoothly embedded p-dimensional spheres in M up to diffeomorphisms of M.
AB - Let M be the product of n copies of the p-dimensional sphere Sp with p≥1 and n≥2. In this paper we completely determine those automorphisms of Hp(M;ℤ)≅ℤn which can be realized by a diffeomorphism of M. As an application, we completely classify smoothly embedded p-dimensional spheres in M up to diffeomorphisms of M.
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U2 - 10.1016/S0166-8641(01)00213-9
DO - 10.1016/S0166-8641(01)00213-9
M3 - Article
AN - SCOPUS:0038690247
VL - 123
SP - 471
EP - 478
JO - Topology and its Applications
JF - Topology and its Applications
SN - 0166-8641
IS - 3
ER -