岩 瀬 則 夫 （いわせ のりお）
郵便宛て先：〒８１０-８５６０ 福岡市 中央区 六本松４-２-１ 九州大学 数理学研究院
電子メール：iwase_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)