Mathematics – General Topology
Scientific paper
2005-01-19
Mathematics
General Topology
6 pages
Scientific paper
We prove that the circle S_1 does not have a 2-mean, i.e., S_1 times S_1
cannot have a retraction r onto its diagonal with r(x,y) = r(y,x), whenever x,y
in S_1. Our proof is combinatorial and topological rather than analytical.
Trigos-Arrieta Javier F.
Turzanski Marian
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