Remarks on Congruence of 3-manifolds

Abstract

We give two proofs that the 3-torus is not weakly d-congruent to the connected sum of three S1xS2's, if d>2. We study how cohomology ring structure relates to weak congruence. We give an example of three 3--manifolds which are weakly 5-congruent but are not 5-congruent.

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