LEADER 02942nam 2200565 450 001 9910828912603321 005 20170918214521.0 010 $a1-4704-0800-7 035 $a(CKB)3360000000464564 035 $a(EBL)3113859 035 $a(SSID)ssj0000888819 035 $a(PQKBManifestationID)11530342 035 $a(PQKBTitleCode)TC0000888819 035 $a(PQKBWorkID)10865491 035 $a(PQKB)11743779 035 $a(MiAaPQ)EBC3113859 035 $a(RPAM)1950710 035 $a(PPN)19541263X 035 $a(EXLCZ)993360000000464564 100 $a20140904h19881988 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCharacterizing k-dimensional universal Menger compacta /$fMladen Bestvina 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1988. 210 4$dİ1988 215 $a1 online resource (121 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 71, Number 380 300 $a"January 1988, volume 71, number 380 (second of 5 numbers)." 311 $a0-8218-2443-0 320 $aIncludes bibliographical references. 327 $a""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 I??[sup(k)] and I??[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of I??[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 I??[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps"" 327 $a""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 I??[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The I??-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"" 327 $a""LIST OF REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 71, Number 380. 606 $aMetric spaces 606 $aManifolds (Mathematics) 615 0$aMetric spaces. 615 0$aManifolds (Mathematics) 676 $a514/.3 700 $aBestvina$b Mladen$f1959-$01608894 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828912603321 996 $aCharacterizing k-dimensional universal Menger compacta$93935877 997 $aUNINA