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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOrdinal invariants in topology /$fV. Kannan
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1981]
210  4$dİ1981
215   $a1 online resource (172 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 245
300   $aIncludes index.
311   $a0-8218-2245-4 
320   $aBibliography: pages 160-161.
327   $a""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1. ORDER OF A MAP""; ""1.1. Definition and Elementary Results""; ""1.2. Quotient Maps with Order a??? 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 a??? 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""
327   $a""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""
327   $a""CHAPTER 6. SOME INVARIANTS FOR ALL SPACES""""6.1. The Invariant I??""; ""6.2. The Invariant I??""; ""6.3. The Invariant I??""; ""6.4. The Invariant r""; ""MISCELLANEOUS EXERCISES""; ""LIST OF TABLES AND DIAGRAMS""; ""APPENDIX""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$vno. 245.
606   $aTopological spaces
606   $aInvariants
606   $aNumbers, Ordinal
606   $aCategories (Mathematics)
615  0$aTopological spaces.
615  0$aInvariants.
615  0$aNumbers, Ordinal.
615  0$aCategories (Mathematics)
676   $a510 s
676   $a514/.3
700   $aKannan$b V.$01545073
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788895703321
996   $aOrdinal invariants in topology$93799748
997   $aUNINA