02945nam 2200565 450 991048067610332120170918214521.01-4704-0800-7(CKB)3360000000464564(EBL)3113859(SSID)ssj0000888819(PQKBManifestationID)11530342(PQKBTitleCode)TC0000888819(PQKBWorkID)10865491(PQKB)11743779(MiAaPQ)EBC3113859(PPN)19541263X(EXLCZ)99336000000046456420140904h19881988 uy 0engur|n|---|||||txtccrCharacterizing k-dimensional universal Menger compacta /Mladen BestvinaProvidence, Rhode Island :American Mathematical Society,1988.©19881 online resource (121 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 71, Number 380"January 1988, volume 71, number 380 (second of 5 numbers)."0-8218-2443-0 Includes bibliographical references.""TABLE OF CONTENTS""; ""INTRODUCTION""; ""DEFINITIONS AND NOTATION""; ""1. PARTITIONS""; ""1.1. Partitions on Compact PL-Manifolds (With Boundary)""; ""1.2. The Standard Construction of the Universal k-Dimensional Menger Space Î?[sup(k)] and Î?[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of Î?[sup(k)]""; ""2. BASIC MOVES""; ""2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps""; ""2.2. The Isotopy Move and Verification of Axiom 1""; ""2.3. Absorbing Maps and Basic Properties of Î?[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps""""2.5. Connecting Intersections""""2.6. Correct Ordering""; ""2.7. Increasing the Connectivity of Partition Elements""; ""2.8 Some Easy Consequences""; ""3. THE Z-SET UNKNOTTING THEOREM""; ""3.1. The Z-set Unknotting Theorem""; ""3.2. Homogeneity of Î?[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The Ï?-Z-set Shrinking Theorem""; ""4.3. The Main Shrinking Theorem""; ""5. THE CHARACTERIZATION THEOREM""; ""5.1. The Resolution Theorem""; ""5.2. The Characterization Theorem""; ""6. NONCOMPACT MENGER MANIFOLDS""; ""APPENDIX""""LIST OF REFERENCES""Memoirs of the American Mathematical Society ;Volume 71, Number 380.Metric spacesManifolds (Mathematics)Electronic books.Metric spaces.Manifolds (Mathematics)514/.3Bestvina Mladen1959-988026MiAaPQMiAaPQMiAaPQBOOK9910480676103321Characterizing k-dimensional universal Menger compacta2259210UNINA