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

By I.M. James

This e-book relies on lectures i've got given to undergraduate and graduate audiences at Oxford and somewhere else through the years. My goal has been to supply an summary of either the topological thought and the uniform conception, with an emphasis at the relation among the 2. even though i am hoping that the prospec­ tive expert may perhaps locate it important as an advent it's the non-specialist i've got had extra in brain in making a choice on the contents. therefore i've got tended to prevent the creative examples and counterexamples which frequently occupy a lot ofthe area in books on common topology, and i've attempted to maintain the variety of definitions right down to the basic minimal. There are not any specific pre­ specifications yet i've got labored at the assumption strength reader will have already got had a few event of operating with units and features and also will be acquainted with the elemental ideas of algebra and research. there are many nice books on basic topology, a few of which i've got indexed within the opt for Bibliography on the finish of this quantity. in fact i've got benefited tremendously from this earlier paintings in writing my very own account. definitely the most powerful impression 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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