TY  - BOOK
AU  - Bestvina,Mladen
TI  - Characterizing K-Dimensional Universal Menger Compacta
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408008
AV  - QA611.28 -- .B478 1988eb 
U1  - 514/.3 
PY  - 1988///
CY  - Providence
PB  - American Mathematical Society
KW  - Metric spaces
KW  - Manifolds (Mathematics)
KW  - Electronic books
N1  - Intro -- 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 μ[sup(k)] and μ[sup(k)]-Manifolds -- 1.3. A Combinatorial Characterization of μ[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 μ[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 μ[sup(k)] -- 4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS -- 4.1. The Z-set Shrinking Theorem -- 4.2. The σ-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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113859
ER  -