03125nam 2200625 450 991048077840332120170821171828.01-4704-0652-7(CKB)3360000000464429(EBL)3113543(SSID)ssj0000889134(PQKBManifestationID)11566329(PQKBTitleCode)TC0000889134(PQKBWorkID)10875534(PQKB)11078896(MiAaPQ)EBC3113543(PPN)195411285(EXLCZ)99336000000046442919810518h19811981 uy| 0engur|n|---|||||txtccrOrdinal invariants in topology /V. KannanProvidence, Rhode Island :American Mathematical Society,[1981]©19811 online resource (172 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 245Includes index.0-8218-2245-4 Bibliography: pages 160-161.""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""Memoirs of the American Mathematical Society ;no. 245.Topological spacesInvariantsNumbers, OrdinalCategories (Mathematics)Electronic books.Topological spaces.Invariants.Numbers, Ordinal.Categories (Mathematics)510 s514/.3Kannan V.938854MiAaPQMiAaPQMiAaPQBOOK9910480778403321Ordinal invariants in topology2116380UNINA