The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
I C?-Rings.- II C?-Rings as Variable Spaces.- III Two Archimedean Models for Synthetic Calculus.- IV Cohomology and Integration.- V Connections on Microlinear Spaces.- VI Models with Invertible Infinitesimals.- VII Smooth Infinitesimal Analysis.- Appendix 1: Sheaves and Forcing.- 1 Sites.- 2 Sheaves.- 3 Forcing.- Appendix 2: A survey of models.- Appendix 3: The integration axiom.- Appendix 4: The amazing right adjoint.- Appendix 5: Comments, References and Further Developments.- Index of symbols.
Book by Moerdijk Ieke Reyes Gonzalo E
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Cloth. Condizione: Very Good. Type: Book Small plain label inside cover. Codice articolo 052558
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Da: Lavendier Books, Foster, RI, U.S.A.
Hardcover. Condizione: As New. Springer Verlag; NY, 1991. Hardcover. First edition. Fine in glossy yellow printed boards. A nice, clean as new, unmarked copy. 8vo[octavo or approx. 6 x 9 inches], 399pp., bibliography, indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Codice articolo SKU1025382
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Condizione: New. In. Codice articolo ria9780387974897_new
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Da: moluna, Greven, Germania
Gebunden. Condizione: New. The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explai. Codice articolo 458433135
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Da: Books Puddle, New York, NY, U.S.A.
Condizione: New. pp. 412. Codice articolo 262170595
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Da: Majestic Books, Hounslow, Regno Unito
Condizione: New. Print on Demand pp. 412 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Codice articolo 5677372
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Da: Biblios, Frankfurt am main, HESSE, Germania
Condizione: New. PRINT ON DEMAND pp. 412. Codice articolo 182170601
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Da: AHA-BUCH GmbH, Einbeck, Germania
Buch. Condizione: Neu. Neuware - The aim of this book is to construct categories of spaces which contain all the C -manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C -manifolds will be explained. Codice articolo 9780387974897
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