A Course in Point Set Topology.pdf

A Course in Point Set Topology PDF

John B. Conway

This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other topological notions in the real line. Appendices are included to bridge the gap between this new material and material found in an analysis course. Metric spaces are one of the more prevalent topological spaces used in other areas and are therefore introduced in the first chapter and emphasized throughout the text. This also conforms to the approach of the book to start with the particular and work toward the more general. Chapter 2 defines and develops abstract topological spaces, with metric spaces as the source of inspiration, and with a focus on Hausdorff spaces. The final chapter concentrates on continuous real-valued functions, culminating in a development of paracompact spaces.

Get this from a library! A course in point set topology. [John B Conway] -- This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and Point-Set Topology Video Tutorials | …

1.81 MB DATEIGRÖSSE
3319023675 ISBN
Englisch SPRACHE
A Course in Point Set Topology.pdf

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Sofia Voigt

AN OUTLINE SUMMARY OF BASIC POINT SET TOPOLOGY AN OUTLINE SUMMARY OF BASIC POINT SET TOPOLOGY J.P. MAY We give a quick outline of a bare bones introduction to point set topology. The focus is on basic concepts and definitions rather than on the examples that give

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Matteo Müller

Get this from a library! A course in point set topology. [John B Conway] -- This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and

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Noel Schulze

05.02.2016 · Assuming that your idea of what to teach in a first-semester course in topology is in line with the author’s, this book would make an excellent text for such a course.” (Mark Hunacek, MAA Reviews, January, 2014) “The author is a specialist in analysis with a life long love for point set topology. … There is a relatively large collection A Course in Point Set Topology | SpringerLink

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Jason Lehmann

Download Citation | On Jan 1, 2014, John B. Conway and others published A Course in Point Set Topology | Find, read and cite all the research you need on ...

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Jessica Kohmann

(13886 views) A First Course in Topology: Continuity and Dimension by John McCleary - American Mathematical Society, 2006 A focused introduction to point-set topology, the fundamental group, and the beginnings of homology theory. The text is intended for advanced undergraduate students. It is suitable for students who have studied real analysis