Ordinal invariants in topology / / V. Kannan
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| Autore: |
Kannan V.
|
| Titolo: |
Ordinal invariants in topology / / V. Kannan
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1981] |
| ©1981 | |
| Descrizione fisica: | 1 online resource (172 p.) |
| Disciplina: | 510 s |
| 514/.3 | |
| Soggetto topico: | Topological spaces |
| Invariants | |
| Numbers, Ordinal | |
| Categories (Mathematics) | |
| Note generali: | Includes index. |
| Nota di bibliografia: | Bibliography: pages 160-161. |
| Nota di contenuto: | ""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1. ORDER OF A MAP""; ""1.1. Definition and Elementary Results""; ""1.2. Quotient Maps with Order â?? 1""; ""1.3. Behavior of the Order of Quotient Maps""; ""1.4. Examples and Exercises""; ""CHAPTER 2. E-ORDER""; ""2.1. Definition and Elementary Properties""; ""2.2. Spaces with E-order â?? 1""; ""2.3. Behavior of E-order""; ""2.4. The Least Upper Bound of E-orders""; ""CHAPTER 3. VIEW FROM CATEGORY THEORY""; ""3.1. The Order of a Closure Space""; ""3.2. The E-order in Terms of Categorical Notions"" |
| ""3.3. Order of a Map in Terms of Categorical Notions""""3.4. One-to-One Correspondence Between E-orders and Certain Subcategories of CL""; ""3.5. Canonical Attainment of E-order""; ""CHAPTER 4. MORE ABOUT E-ORDER""; ""4.1. E-order at a Point""; ""4.2. The E-order of a Brush""; ""4.3. What Ordinals Appear as E-order""; ""4.4. E-order and a Chain of Topologies""; ""4.5. What Sets of Ordinals Appear""; ""CHAPTER 5. SPECIAL INSTANCES""; ""5.1. Sequential Order""; ""5.2. k-Order""; ""5.3. m-Net Order""; ""5.4. Some Instances of E-orders""; ""5.5. Examples"" | |
| ""CHAPTER 6. SOME INVARIANTS FOR ALL SPACES""""6.1. The Invariant Ï?""; ""6.2. The Invariant Ï?""; ""6.3. The Invariant Î?""; ""6.4. The Invariant r""; ""MISCELLANEOUS EXERCISES""; ""LIST OF TABLES AND DIAGRAMS""; ""APPENDIX""; ""REFERENCES"" | |
| Titolo autorizzato: | Ordinal invariants in topology |
| ISBN: | 1-4704-0652-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788895703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 245.