DOI Number :
Hits : 20

The Multiplication Problem for Spheres

Howard Stauffer

Abstract. The multiplication problem for spheres is to determine which spheres in Euclidean space Sn-1 - En permit a continuous multiplication. This paper presents the topological K-theory proof that it is only possible when n = 1, 2, 4, and 8. These cases correspond to S0 - E1, S1 - E2, S3 - E4, and S7 - E8 where the multiplications are given respectively by the real numbers, complex numbers, quaternions, and Cayley numbers.


Download Article
Bahasa Indonesia | English


Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at

For detail information please contact us to:

       ITB Journal Visitor Number #24486337       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : or Developed by AVE