| eBook ISBN: | 978-1-4704-3175-4 |
| Product Code: | COLL/28.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-3175-4 |
| Product Code: | COLL/28.E |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
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Book DetailsColloquium PublicationsVolume: 28; 1942; 280 ppMSC: Primary 54
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Table of Contents
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Chapters
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Chapter 1. Introductory topology
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Chapter 2. Continuous transformations. Junction properties of locally connected sets
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Chapter 3. Cut points. Non-separated cuttings
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Chapter 4. Cyclic element theory
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Chapter 5. Special types of continua
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Chapter 6. Place continua
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Chapter 7. Semi-continuous decompositions and continuous transformations
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Chapter 8. General propoerties. Factorization
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Chapter 9. Applications of monotone and non-alternating transformations
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Chapter 10. Interior transformations
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Chapter 11. Existence theorems. Mapping onto the circle
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Chapter 12. Periodicity. Fixed points
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Reviews
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To quote the author, ‘Analytic topology is meant to cover those phases of topology which are being developed advantageously by methods in which continuous transformations play the essential role.’ In this the author coins a new term to cover the extensive results of the past ten years, obtained largely in this country, on transformation topology. The book falls naturally into two parts:the first six chapters in which the fundamental ideas of topology are developed, and the last six chapters in which the transformation theory proper is studied. The book is almost wholly self-contained, all the necessary ideas of topology which the author uses being developed in the first six chapters, so that the book may be used with no previous knowledge of topology.
Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
-
Chapters
-
Chapter 1. Introductory topology
-
Chapter 2. Continuous transformations. Junction properties of locally connected sets
-
Chapter 3. Cut points. Non-separated cuttings
-
Chapter 4. Cyclic element theory
-
Chapter 5. Special types of continua
-
Chapter 6. Place continua
-
Chapter 7. Semi-continuous decompositions and continuous transformations
-
Chapter 8. General propoerties. Factorization
-
Chapter 9. Applications of monotone and non-alternating transformations
-
Chapter 10. Interior transformations
-
Chapter 11. Existence theorems. Mapping onto the circle
-
Chapter 12. Periodicity. Fixed points
-
To quote the author, ‘Analytic topology is meant to cover those phases of topology which are being developed advantageously by methods in which continuous transformations play the essential role.’ In this the author coins a new term to cover the extensive results of the past ten years, obtained largely in this country, on transformation topology. The book falls naturally into two parts:the first six chapters in which the fundamental ideas of topology are developed, and the last six chapters in which the transformation theory proper is studied. The book is almost wholly self-contained, all the necessary ideas of topology which the author uses being developed in the first six chapters, so that the book may be used with no previous knowledge of topology.
Mathematical Reviews
