On classification of -manifolds according to genus
Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Maria Rita Casali, Luca Malagoli (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Fulvia Spaggiari (1999)
Collectanea Mathematica
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Diarmuid J. Crowley, Peter D. Zvengrowski (2008)
Archivum Mathematicum
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In this note we give examples in every dimension of piecewise linearly homeomorphic, closed, connected, smooth -manifolds which admit two smoothness structures with differing spans, stable spans, and immersion co-dimensions. In dimension the examples include the total spaces of certain -sphere bundles over . The construction of such manifolds is based on the topological variance of the second Pontrjagin class: a fact which goes back to Milnor and which was used by Roitberg to...