Homology of normal chains and cohomology of charges /

We consider a category of pairs of compact metric spaces and Lipschitz maps where the pairs satisfy a linearly isoperimetric condition related to the solvability of the Plateau problem with partially free boundary. It includes properly all pairs of compact Lipschitz neighborhood retracts of a large...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: De Pauw, Th. (Thierry), 1971- (Autor), Hardt, R. (Robert), 1945- (Autor), Pfeffer, Washek F. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2017.
Colección:Memoirs of the American Mathematical Society ; no. 1172.
Temas:
Algebraic topology.
Cohomology operations.
Mathematical analysis.
Banach spaces.
Topologie algébrique.
Opérations cohomologiques.
Analyse mathématique.
Espaces de Banach.
Algebraic topology
Banach spaces
Cohomology operations
Mathematical analysis
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction Chapter 1. Notation and preliminaries Chapter 2. Rectifiable chains Chapter 3. Lipschitz chains Chapter 4. Flat norm and flat chains Chapter 5. The lower semicontinuity of slicing mass Chapter 6. Supports of flat chains Chapter 7. Flat chains of finite mass Chapter 8. Supports of flat chains of finite mass Chapter 9. Measures defined by flat chains of finite mass Chapter 10. Products Chapter 11. Flat chains in compact metric spaces Chapter 12. Localized topology Chapter 13. Homology and cohomology Chapter 14. q-bounded pairs Chapter 15. Dimension zero Chapter 16. Relation to the Čech cohomology Chapter 17. Locally compact spaces.

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