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Record Nr. |
UNINA9910480778403321 |
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Autore |
Kannan V. |
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Titolo |
Ordinal invariants in topology / / V. Kannan |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1981] |
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©1981 |
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ISBN |
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Descrizione fisica |
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1 online resource (172 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 245 |
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Disciplina |
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Soggetti |
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Topological spaces |
Invariants |
Numbers, Ordinal |
Categories (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Bibliography: pages 160-161. |
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Nota di contenuto |
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""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. |
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