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Extending homeomorphisms of ๐‘†^{๐‘}ร—๐‘†^{๐‘ž}

Extending homeomorphisms of ๐‘†^{๐‘}ร—๐‘†^{๐‘ž}

The purpose of this note is to characterize those homeomorphisms of SpXSq onto itself which are concordant to the identity, and then to use this to classify, up to concordance, those which extend to homeomorphisms of Sp+q+l, regarded as d(Bp+1XBq+l) =5'XS,+1KJBp+lXSq.We work throughout in the PL category, as defined and โ€ฆ