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Download E-books Topological and Uniform Spaces (Undergraduate Texts in Mathematics) PDF

By I.M. James

This publication is predicated on lectures i've got given to undergraduate and graduate audiences at Oxford and in different places through the years. My goal has been to supply an overview of either the topological conception and the uniform idea, with an emphasis at the relation among the 2. even if i'm hoping that the prospec­ tive professional may possibly locate it necessary as an creation it's the non-specialist i've got had extra in brain in deciding upon the contents. therefore i've got tended to prevent the inventive examples and counterexamples which regularly occupy a lot ofthe house in books on normal topology, and i've attempted to maintain the variety of definitions all the way down to the basic minimal. There are not any specific pre­ standards yet i've got labored at the assumption power reader will have already got had a few adventure of operating with units and services and also will be acquainted with the fundamental innovations of algebra and research. there are various nice books on common topology, a few of which i've got indexed within the choose Bibliography on the finish of this quantity. in fact i've got benefited vastly from this prior paintings in writing my very own account. certainly the most powerful effect is that of Bourbaki's Topologie Generale [2], the definitive therapy of the topic which first seemed over a genera­ tion in the past.

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