Characterization and topological rigidity of Nöbeling manifolds / / Andrzej Nagórko

• Record Nr.: UNINA9910480994403321
• Autore: Nagórko Andrzej <1976->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2012; ©2012
• ISBN: 0-8218-9872-8
• Descrizione fisica: 1 online resource (92 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 223, Number 1048
• Disciplina: 514/.34
• Soggetti: Topological manifolds; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: May 2013 , Volume 223, Number 1048 (second of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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 partitioningsâ€? 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 of holes""; ""Chapter 10. Core of a cover""; ""10.1. The existence of an -core""; ""10.2. An -core of a limit of a sequence of deformations""; ""10.3. Proof of theorem 10.1""