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Relations amongst Toda brackets and the Kervaire invariant in dimension 62
 J. London Math. Soc
, 1984
"... In this paper we use relations amongst Toda brackets and a lot of detailed information about the homotopy groups of spheres to show that there exists a 62dimensional framed manifold with Kervaire invariant one. This paper, together with [4, 5], represents an effort to supply full details for a numb ..."
Abstract

Cited by 19 (2 self)
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In this paper we use relations amongst Toda brackets and a lot of detailed information about the homotopy groups of spheres to show that there exists a 62dimensional framed manifold with Kervaire invariant one. This paper, together with [4, 5], represents an effort to supply full details for a number of the results
UPPER TRIANGULAR TECHNOLOGY AND THE ARFKERVAIRE INVARIANT
"... Abstract. This paper introduces the upper triangular technology (UTT) into classical homotopy theory. This is a new and easy to use method to calculate the effect of the left unit map in 2adic connective Ktheory; the map which is the basis for operations in butheory. By way of application, UTT is ..."
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Abstract. This paper introduces the upper triangular technology (UTT) into classical homotopy theory. This is a new and easy to use method to calculate the effect of the left unit map in 2adic connective Ktheory; the map which is the basis for operations in butheory. By way of application, UTT is used to give a new, very simple proof of a conjecture of BarrattJonesMahowald, which rephrases Ktheoretically the existence of framed manifolds of ArfKervaire invariant one. 1.
Printed in Great Britain The
, 1976
"... nonexistence of odd primary Arf invariant elements in stable homotopy ..."
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