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Titlebook: Categories, Bundles and Spacetime Topology; C. T. J. Dodson Book 1988Latest edition Springer Science+Business Media Dordrecht 1988 Categor

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发表于 2025-3-21 19:11:22 | 显示全部楼层 |阅读模式
书目名称Categories, Bundles and Spacetime Topology
编辑C. T. J. Dodson
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Categories, Bundles and Spacetime Topology;  C. T. J. Dodson Book 1988Latest edition Springer Science+Business Media Dordrecht 1988 Categor
描述Approach your problems from the right end It isn‘t that they can‘t see the solution. It is and begin with the answers. Then one day, that they can‘t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ‘The Hermit Gad in Crane Feathers‘ in R. Brown‘The point of a Pin‘. van Gulik‘s TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are rel
出版日期Book 1988Latest edition
关键词Category theory; Mathematica; algebra; algebraic geometry; chaos; geometry; optimization; ring theory; syner
版次2
doihttps://doi.org/10.1007/978-94-015-7776-2
isbn_softcover978-90-481-8452-1
isbn_ebook978-94-015-7776-2
copyrightSpringer Science+Business Media Dordrecht 1988
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Book 1988Latest editionregional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are rel
发表于 2025-3-22 03:22:42 | 显示全部楼层
ially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are rel978-90-481-8452-1978-94-015-7776-2
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Preliminaries, Also, some experience of sets, vector spaces and basic group theory will be assumed, but the overall algebraic content of our material is slight and the treatment of categories is from first principles. Our main reference text for prerequisite material is the book Tensor Geometry [28] , which gives
发表于 2025-3-22 13:35:39 | 显示全部楼层
Naive category theory, very good introductory texts for mathematicians and the ones by MacLane [67] and Herrlich and Strecker [46] are probably the best references for physicists who want more details than we can provide here. Note that we use the term . where MacLane uses the term .: to mean a . that is not a . ( cf . [
发表于 2025-3-22 20:42:46 | 显示全部楼层
Existence of limiting topologies,set can be given in order for the notion of continuity to have meaning for maps to and (or) from the set. There are many good introductions to topology : Jameson [54] and Maddox [68] slanted towards normed spaces, Porteous [78] slanted towards topological algebra and Wall [100] slanted towards algeb
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https://doi.org/10.1007/978-3-319-17888-2ivistic spacetime; mainly our notation will follow this text. Manifolds and differentiate maps form a category, Man, but it is not complete because of the absence of certain pullbacks, quotients and coproducts (cf. Lang [60] and Hirsch [49]).
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