Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960.
This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most.
This book will prove useful to mathematicians.
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978-1-4831-8477-7 (9781483184777)
Schweitzer Klassifikation
¿Editorial PrefacePublications of J. H. C. WhiteheadOn Certain Theorems of G. W. WhiteheadNote on the Whitehead ProductNote on Fibre SpacesThe Homotopy Theory of Sphere Bundles Over Spheres (I)The Homotopy Theory of Sphere Bundles Over Spheres (II)On Fibre Spaces in which the Fibre is ContractibleObstructions to CompressionA First Approximation to Homotopy TheoryThe Theory of Carriers and S-TheoryDuality in Homotopy TheoryDuality in TopologyDuality Between CW-LatticesDuality in Relative Homotopy TheoryHomology with Zero CoefficientsNote on the Condition n-colcOn Involutions of SpheresOn 2-Spheres in 3-ManifoldsOn Finite Cocycles and the Sphere TheoremA Proof and Extension of Dehn's LemmaThe Immersion of an Open 3-Manifold in Euclidean 3-SpaceManifolds with Transverse Fields in Euclidean SpaceImbedding of Manifolds in Euclidean SpaceContents of Volumes I to IV
