Titlebook: Geometry of Vector Sheaves; An Axiomatic Approac Anastasios Mallios Book 1998 Springer Science+Business Media Dordrecht 1998 Algebraic topo

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Multimedia und die Kartographie,atural way, with any given .-connection. Thus, in complete contrast with the situation one encounters with the case of .-connections, which, as we know already (cf. Chapter VI in the preceding), do not always exist, we realize here that an .-connection in the case there does exist is, instead, alway

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,Denken, Planen, Handeln – Zählen im Leben,. In particular, we apply the counterpart here of the (differential- geometric) . of these classes, . (tensor). So, as happens in the standard case, the . (see the previous Chapter, Theorem 7.1) becomes here a key-result. On the other hand, one has to assume further, within this abstract treatment,

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https://doi.org/10.1007/978-3-322-83417-1 which the framework, exhibited hitherto in the preceding Chapters, constitutes their abstract (axiomatic) description. Of course, this happens in the . case, while certain . also are fitted in well, within the same context, as in the foregoing. A particularly interesting case is that one of the so-

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辩论

Book 1998 differentialcalculus. Here, the sheaf-theoretic character is emphasised. This hastheoretical advantages such as greater perspective, clarity andunification, but also practical benefits ranging from elementaryparticle physics, via gauge theories and theoretical cosmology(`differential spaces‘), to n

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Multimedia und die Kartographie,tion, as well. Yet, as was the case hitherto, one still witnesses here that several fundamental notions and results of the classical theory can also be recasted within the present abstract (axiomatic) framework, that has been advocated so far by this study.