03439nam 2200541 450 991081907600332120211007112353.00-8218-9872-8(CKB)3780000000000179(EBL)3114530(SSID)ssj0000888818(PQKBManifestationID)11566307(PQKBTitleCode)TC0000888818(PQKBWorkID)10874442(PQKB)10524080(MiAaPQ)EBC3114530(RPAM)17647344(PPN)195408322(EXLCZ)99378000000000017920150416h20122012 uy 0engur|n|---|||||txtccrCharacterization and topological rigidity of Nöbeling manifolds /Andrzej NagórkoProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (92 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 223, Number 1048May 2013 , Volume 223, Number 1048 (second of 5 numbers)."0-8218-5366-X Includes bibliographical references and index.""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 â€œbrick 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""Memoirs of the American Mathematical Society.Topological manifoldsTopological manifolds.514/.34Nagórko Andrzej1976-1650234MiAaPQMiAaPQMiAaPQBOOK9910819076003321Characterization and topological rigidity of Nöbeling manifolds3999496UNINA