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General Topology. The goal of this part of the book is to teach the language of math- ematics. More specifically, one of its most important components: the language of set-theoretic topology, which treats the basic notions related to continuity. Its treatment encompasses two broad areas of topology: 'continuous topology,' represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and 'geometric topology,' covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory.

We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.

We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids.

So, as he said, 'think of this second half as an attempt by someone with general topology background, to explore the Algebraic Topology. Seebach and Steen's book Counterexamples in Topology is not a book you should try to learn topology from. But as a supplemental book, it is a lot of fun, and very useful.

Author by: K.P. Hart Language: en Publisher by: Elsevier Format Available: PDF, ePub, Mobi Total Read: 82 Total Download: 938 File Size: 47,9 Mb Description: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. Adobe acrobat xi pro license key. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book. Key features: • More terms from General Topology than any other book ever published • Short and informative articles • Authors include the majority of top researchers in the field • Extensive indexing of terms. Author by: Iain T. Adamson Language: en Publisher by: Springer Science & Business Media Format Available: PDF, ePub, Mobi Total Read: 52 Total Download: 657 File Size: 48,9 Mb Description: This book has been called a Workbook to make it clear from the start that it is not a conventional textbook.