05117nam 22006375 450 991095393190332120250811094906.01-4612-4372-610.1007/978-1-4612-4372-4(CKB)3400000000090814(SSID)ssj0000805503(PQKBManifestationID)11419055(PQKBTitleCode)TC0000805503(PQKBWorkID)10854465(PQKB)10966204(DE-He213)978-1-4612-4372-4(MiAaPQ)EBC3075264(PPN)238068978(EXLCZ)99340000000009081420121227d1993 u| 0engurnn|008mamaatxtccrClassical Topology and Combinatorial Group Theory /by John Stillwell2nd ed. 1993.New York, NY :Springer New York :Imprint: Springer,1993.1 online resource (XII, 336 p.) Graduate Texts in Mathematics,2197-5612 ;72Bibliographic Level Mode of Issuance: Monograph0-387-97970-0 Includes bibliographical references and index.0 Introduction and Foundations -- 0.1 The Fundamental Concepts and Problems of Topology -- 0.2 Simplicial Complexes -- 0.3 The Jordan Curve Theorem -- 0.4 Algorithms -- 0.5 Combinatorial Group Theory -- 1 Complex Analysis and Surface Topology -- 1.1 Riemann Surfaces -- 1.2 Nonorientable Surfaces -- 1.3 The Classification Theorem for Surfaces -- 1.4 Covering Surfaces -- 2 Graphs and Free Groups -- 2.1 Realization of Free Groups by Graphs -- 2.2 Realization of Subgroups -- 3 Foundations for the Fundamental Group -- 3.1 The Fundamental Group -- 3.2 The Fundamental Group of the Circle -- 3.3 Deformation Retracts -- 3.4 The Seifert—Van Kampen Theorem -- 3.5 Direct Products -- 4 Fundamental Groups of Complexes -- 4.1 Poincaré’s Method for Computing Presentations -- 4.2 Examples -- 4.3 Surface Complexes and Subgroup Theorems -- 5 Homology Theory and Abelianization -- 5.1 Homology Theory -- 5.2 The Structure Theorem for Finitely Generated Abelian Groups -- 5.3 Abelianization -- 6 Curves on Surfaces -- 6.1 Dehn’s Algorithm -- 6.2 Simple Curves on Surfaces -- 6.3 Simplification of Simple Curves by Homeomorphisms -- 6.4 The Mapping Class Group of the Torus -- 7 Knots and Braids -- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups -- 7.2 Cyclic Coverings -- 7.3 Braids -- 8 Three-Dimensional Manifolds -- 8.1 Open Problems in Three-Dimensional Topology -- 8.2 Polyhedral Schemata -- 8.3 Heegaard Splittings -- 8.4 Surgery -- 8.5 Branched Coverings -- 9 Unsolvable Problems -- 9.1 Computation -- 9.2 HNN Extensions -- 9.3 Unsolvable Problems in Group Theory -- 9.4 The Homeomorphism Problem -- Bibliography and Chronology.In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec­ tions to other parts of mathematics which make topology an important as well as a beautiful subject.Graduate Texts in Mathematics,2197-5612 ;72TopologyTopological groupsLie groupsTopologyTopological Groups and Lie GroupsTopology.Topological groups.Lie groups.Topology.Topological Groups and Lie Groups.514514/.2Stillwell Johnauthttp://id.loc.gov/vocabulary/relators/aut41902MiAaPQMiAaPQMiAaPQBOOK9910953931903321Classical topology and combinatorial group theory348503UNINA03399nam 22005175 450 991059505640332120251113181809.09783031164408303116440710.1007/978-3-031-16440-8(MiAaPQ)EBC7088031(Au-PeEL)EBL7088031(CKB)24837136900041(PPN)264952995(OCoLC)1345279890(DE-He213)978-3-031-16440-8(EXLCZ)992483713690004120220915d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMedical Image Computing and Computer Assisted Intervention – MICCAI 2022 25th International Conference, Singapore, September 18–22, 2022, Proceedings, Part IV /edited by Linwei Wang, Qi Dou, P. Thomas Fletcher, Stefanie Speidel, Shuo Li1st ed. 2022.Cham :Springer Nature Switzerland :Imprint: Springer,2022.1 online resource (781 pages)Lecture Notes in Computer Science,1611-3349 ;13434Print version: Wang, Linwei Medical Image Computing and Computer Assisted Intervention - MICCAI 2022 Cham : Springer,c2022 9783031164392 Microscopic image analysis -- positron emission tomography -- ultrasound imaging -- video data analysis; image segmentation I.The eight-volume set LNCS 13431, 13432, 13433, 13434, 13435, 13436, 13437, and 13438 constitutes the refereed proceedings of the 25th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2022, which was held in Singapore in September 2022. The 574 revised full papers presented were carefully reviewed and selected from 1831 submissions in a double-blind review process. The papers are organized in the following topical sections: Part I: Brain development and atlases; DWI and tractography; functional brain networks; neuroimaging; heart and lung imaging; dermatology; Part II: Computational (integrative) pathology; computational anatomy and physiology; ophthalmology; fetal imaging; Part III: Breast imaging; colonoscopy; computer aided diagnosis; Part IV: Microscopic image analysis; positron emission tomography; ultrasound imaging; video data analysis; image segmentation I; Part V: Image segmentation II; integration of imaging with non-imaging biomarkers; Part VI: Image registration; image reconstruction; Part VII: Image-Guided interventions and surgery; outcome and disease prediction; surgical data science; surgical planning and simulation; machine learning – domain adaptation and generalization; Part VIII: Machine learning – weakly-supervised learning; machine learning – model interpretation; machine learning – uncertainty; machine learning theory and methodologies. .Lecture Notes in Computer Science,1611-3349 ;13434Image processingImage ProcessingImage processing.Image Processing.616.0754616.07540285Wang LinweiMiAaPQMiAaPQMiAaPQBOOK9910595056403321Medical image computing and computer assisted intervention - MICCAI 20223008832UNINA