Download PDF by Victor P. Snaith: Stable Homotopy Around the Arf-Kervaire Invariant: 273

By Victor P. Snaith

ISBN-10: 3764399031

ISBN-13: 9783764399030

have been I to take an iron gun, And ?re it o? in the direction of the solar; I furnish ‘twould achieve its mark eventually, yet no longer until eventually decades had handed. yet may still that bullet switch its strength, And to the planets take its direction, ‘Twould by no means succeed in the closest megastar, since it is so very a long way. from proof via Lewis Carroll [55] allow me start through describing the 2 reasons which brought on me to write down this monograph. it is a e-book approximately algebraic topology and extra specially approximately homotopy concept. because the inception of algebraic topology [217] the examine of homotopy sessions of continuing maps among spheres has loved a really exc- n n tional, crucial function. As is celebrated, for homotopy periods of maps f : S ?? S with n? 1 the only real homotopy invariant is the measure, which characterises the homotopy classification thoroughly. the hunt for a continual map among spheres of di?erent dimensions and never homotopic to the consistent map needed to look ahead to its answer till the notable paper of Heinz Hopf [111]. on reflection, ?nding three an instance was once particularly effortless simply because there's a canonical quotient map from S to three 1 1 2 theorbitspaceofthe freecircleactionS /S =CP = S .

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