Counterexamples in Topology

Counterexamples in Topology

1978 | Lynn Arthur Steen, J. Arthur Seebach, Jr.
The book "Counterexamples in Topology" by Lynn Arthur Steen and J. Arthur Seebach, Jr. is a comprehensive resource for undergraduate and graduate students studying general topology. The second edition, published by Springer-Verlag, includes corrections, recent developments, and a revised version of the author's paper on conjectures and counterexamples in metrization theory. The book aims to provide concrete illustrations of definitions, theorems, and proof methods through 143 examples, many of which were first outlined by undergraduate research teams at Saint Olaf College. The examples are ordered by their relevance to the definitions in the first section, and the book includes appendices with reference charts and a collection of problems. The authors emphasize the importance of counterexamples in fostering a deeper understanding of topology and encourage readers to explore and create their own examples.The book "Counterexamples in Topology" by Lynn Arthur Steen and J. Arthur Seebach, Jr. is a comprehensive resource for undergraduate and graduate students studying general topology. The second edition, published by Springer-Verlag, includes corrections, recent developments, and a revised version of the author's paper on conjectures and counterexamples in metrization theory. The book aims to provide concrete illustrations of definitions, theorems, and proof methods through 143 examples, many of which were first outlined by undergraduate research teams at Saint Olaf College. The examples are ordered by their relevance to the definitions in the first section, and the book includes appendices with reference charts and a collection of problems. The authors emphasize the importance of counterexamples in fostering a deeper understanding of topology and encourage readers to explore and create their own examples.
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