Category and Measure

Category and Measure

Infinite Combinatorics, Topology and Groups

Bingham, N. H.; Ostaszewski, Adam J.

Cambridge University Press

01/2025

338

Dura

9780521196079

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Prologue. Regular variation; 1. Preliminaries; 2. Baire category and related results; 3. Borel sets, analytic sets and beyond: $\Delta^1_2$; 4. Infinite combinatorics in $\mathbb{R}^n$: shift-compactness; 5. Kingman combinatorics and shift-compactness; 6. Groups and norms: Birkhoff-Kakutani theorem; 7. Density topology; 8. Other fine topologies; 9. Category-measure duality; 10. Category embedding theorem and infinite combinatorics; 11. Effros' theorem and the cornerstone theorems of functional analysis; 12. Continuity and coincidence theorems; 13. * Non-separable variants; 14. Contrasts between category and measure; 15. Interior point theorems: Steinhaus-Weil theory; 16. Axiomatics of set theory; Epilogue. Topological regular variation; References; Index.
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