Year: 2009
Type: article
Abstract: We complete in this Note the description of Singer's fourth transfer, already studied by many authors. More precisely, we show that each element of the family { p i | i ⩾ 0 } belongs to the image of this fourth transfer. Combining this with previous results by R. Bruner, L.M. Hà, T.N. Nam and the first author, we deduce that the image of the algebraic transfer contains all the elements of the families { d i | i ⩾ 0 } , { e i | i ⩾ 0 } , { f i | i ⩾ 0 } and { p i | i ⩾ 0 } , but none from the families { g i | i ⩾ 1 } , { D 3 ( i ) | i ⩾ 0 } and { p i ′ | i ⩾ 0 } . The method used to prove that elements are in the transfer's image can be applied not only to the family of p i 's but to the families of d i 's, e i 's and f i 's as well.
Source: Comptes Rendus Mathématique
Authors: Nguyễn H.V. Hu'ng, Võ T.N. Quy`nh
Institution: Vietnam National University, Hanoi
Language: French
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Université Paris 13
OpenAlex ID: W1979165019