Original Articles

ON CUP-ONE AND TODA BRACKET

Published in: Quaestiones Mathematicae
Volume 16 , issue 2 , 1993 , pages: 193–207

DOI: 10.1080/16073606.1993.9631730

Author(s): K.A. Hardie Department of Mathematics, South Africa , M.E. Mahowald Department of Mathematics, USA

Keywords: 55Q35 , 55Q35

Abstract

The definition of the cup-one construction in various cases is recalled. A variation expressible in terms of the Toda bracket is given, enabling nontriviality of Toda brackets of a certain type to be established in a rather simple way from knowledge of the behaviour of cup-one.

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