Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone ¿ Weierstra¿theorems for bundles.- An alternative description of spaces of sections: Function modules.- Some algebraic aspects of ?-spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of ?(p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for ?-spaces.- Duality.- The closure of the "unit ball" of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod(?(p),C(X)).- Internal duality of C(X)-modules.- The dual space ?(p)' of a space of sections.
| Autorius: | G. Gierz |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1982 |
| Knygos puslapių skaičius: | 304 |
| ISBN-10: | 3540116109 |
| ISBN-13: | 9783540116103 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Calculus and mathematical analysis |
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