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UNINA9910796037003321 |
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Autore |
Nagórko Andrzej <1976-> |
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Titolo |
Characterization and topological rigidity of Nöbeling manifolds / / Andrzej Nagórko |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (92 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 223, Number 1048 |
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Disciplina |
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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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May 2013 , Volume 223, Number 1048 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Part 1 . Introduction and preliminaries""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Covers and interior covers""; ""2.2. Absolute extensors""; ""2.3. Nerves of covers and barycentric stars""; ""2.4. Strong universality""; ""2.5. -Homotopy equivalence""; ""2.6. -sets""; ""Part 2 . Reducing the proof of the main results to the construction of -regular and -semiregular \ { }-covers""; ""Chapter 3. Approximation within an _{ }-cover""; ""3.1. (â?±)-sets""; ""3.2. Approximation within a cover"" |
""3.3. -collections\footnote{we shall not use the theorem proved in ths section until the third part of the paper.}""""Chapter 4. Constructing closed _{ }-covers""; ""4.1. Adjustment of a collection""; ""4.2. Limits of sequences of adjustments""; ""4.3. Construction of a closed _{ }-swelling""; ""Chapter 5. Carrier and nerve theorems""; ""5.1. Regular covers""; ""5.2. Carrier theorem""; ""5.3. Nerve theorem""; ""Chapter 6. Anticanonical maps and semiregularity""; ""6.1. A nerve theorem and the notion of semiregularity""; ""6.2. A construction of regular covers"" |
""6.3. A construction of semiregular covers""""Chapter 7. Extending homeomorphisms by the use of a “brick partitionings� technique""; ""Chapter 8. Proof of the main results""; ""Part 3 . Constructing -semiregular and -regular \ { }-covers""; ""Chapter 9. Basic constructions in _{ }-spaces""; ""9.1. Adjustment to a -collection""; ""9.2. Fitting closed _{ }-neighborhoods""; ""9.3. Patching |
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