Norio Iwase
Mailing Adress: Faculty of Mathematics, Kyushu University, Motooka 744, Fukuoka 819-0395, Japan
E-mail Adress: iwase_AT__AT_math.kyushu-u.ac.jp
Authors.
H. J. Baues and myself
Journal.
Contemporary Mathematics, 274 (2001), 57-78.
Abstract.
In this paper, we compute for End(SX v...v SX) in the full homotopy category consisting of one point unions SX v...v SX.
For this, we describe the square ring End(SX) only in terms of primary homotopy operations on spheres.
In low dimensions with n-m=<19, these homotopy operations are computed in the book of Toda, so that we get this way many explicit exmples of square rings.
In particular we shall describe algebraically the square rings End(SX) and are the complex and quaternionic projective plane respectively and where is the Caley plane.
The structure of End(SX) leads to a theory of extensions for square rings.
- Square rings associated to elements in homotopy groups of spheres (adobe-pdf file, 336958 bytes)