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Record Nr. |
UNINA9910480676103321 |
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Autore |
Bestvina Mladen <1959-> |
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Titolo |
Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1988 |
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©1988 |
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ISBN |
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Descrizione fisica |
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1 online resource (121 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 71, Number 380 |
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Disciplina |
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Soggetti |
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Metric spaces |
Manifolds (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1988, volume 71, number 380 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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