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  3. A Guide to Topology
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 8
Publisher:
Mathematical Association of America
Online publication date:
January 2012
Print publication year:
2009
Online ISBN:
9780883859179
DOI:
https://doi.org/10.5948/UPO9780883859179
Subjects:
Mathematics, Geometry and Topology
Series:
Dolciani Mathematical Expositions
Information

Book description

A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize.

Reviews

The intention of the guides is to support graduate education in mathematics by providing thumbnail sketches of subject areas that a student might use a a starting point or as a review.... The author's depth in analysis is apparent in his choices of topics... A valuable addition to a serious mathematics library.

J. McCleary Source: CHOICE

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