Advances in two-dimensional homotopy and combinatorial group theory /:
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2018.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
446. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as the Andrews-Curtis Conjecture and the Whitehead asphericity problem remain to be (fully) solved, this book will provide both students and experts with an overview of the state of the art and work in progress. Ample references are included to the LMS 197 volume, as well as a comprehensive bibliography bringin#g matters entirely up to date. |
| Beschreibung: | 1 online resource (x, 179 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781108640862 1108640869 9781316555798 1316555798 |
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| contents | A survey of recent progress on some problems in 2-dimensional topology / Jens Harlander -- Further results concerning the Andrews-Curtis-conjecture and its generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler -- Aspects of TQFT and computational algebra / Holger Kaden and Simon King -- Labelled oriented trees and the Whitehead-conjecture / Stephan Rosebrock -- 2-complexes and 3-manifolds / Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev -- The relation gap problem / Jens Harlander -- On the relation gap problem for free products / Cynthia Hog-Angeloni and Wolfgang Metzler. |
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| spelling | Advances in two-dimensional homotopy and combinatorial group theory / edited by Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt, Germany ; Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany. Cambridge : Cambridge University Press, 2018. ©2018 1 online resource (x, 179 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 446 This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as the Andrews-Curtis Conjecture and the Whitehead asphericity problem remain to be (fully) solved, this book will provide both students and experts with an overview of the state of the art and work in progress. Ample references are included to the LMS 197 volume, as well as a comprehensive bibliography bringin#g matters entirely up to date. Includes bibliographical references and index. A survey of recent progress on some problems in 2-dimensional topology / Jens Harlander -- Further results concerning the Andrews-Curtis-conjecture and its generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler -- Aspects of TQFT and computational algebra / Holger Kaden and Simon King -- Labelled oriented trees and the Whitehead-conjecture / Stephan Rosebrock -- 2-complexes and 3-manifolds / Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev -- The relation gap problem / Jens Harlander -- On the relation gap problem for free products / Cynthia Hog-Angeloni and Wolfgang Metzler. Print version record. Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Combinatorial group theory. http://id.loc.gov/authorities/subjects/sh85028806 Low-dimensional topology. http://id.loc.gov/authorities/subjects/sh85078631 Homotopie. Théorie combinatoire des groupes. Topologie de basse dimension. MATHEMATICS Topology. bisacsh Homotopía embne Análisis combinatorio embne Combinatorial group theory fast Homotopy theory fast Low-dimensional topology fast Rosebrock, Stephan, editor. http://id.loc.gov/authorities/names/n2017063795 Metzler, W. (Wolfgang), editor. https://id.oclc.org/worldcat/entity/E39PCjvWvjq3dpCkCD4vyQHtDm http://id.loc.gov/authorities/names/n88208203 has work: Advances in two-dimensional homotopy and combinatorial group theory (Text) https://id.oclc.org/worldcat/entity/E39PCFvmhVqdtp96CB4D8HV7VC https://id.oclc.org/worldcat/ontology/hasWork London Mathematical Society lecture note series ; 446. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1623698 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1623698 Volltext |
| spellingShingle | Advances in two-dimensional homotopy and combinatorial group theory / London Mathematical Society lecture note series ; A survey of recent progress on some problems in 2-dimensional topology / Jens Harlander -- Further results concerning the Andrews-Curtis-conjecture and its generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler -- Aspects of TQFT and computational algebra / Holger Kaden and Simon King -- Labelled oriented trees and the Whitehead-conjecture / Stephan Rosebrock -- 2-complexes and 3-manifolds / Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev -- The relation gap problem / Jens Harlander -- On the relation gap problem for free products / Cynthia Hog-Angeloni and Wolfgang Metzler. Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Combinatorial group theory. http://id.loc.gov/authorities/subjects/sh85028806 Low-dimensional topology. http://id.loc.gov/authorities/subjects/sh85078631 Homotopie. Théorie combinatoire des groupes. Topologie de basse dimension. MATHEMATICS Topology. bisacsh Homotopía embne Análisis combinatorio embne Combinatorial group theory fast Homotopy theory fast Low-dimensional topology fast |
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| title | Advances in two-dimensional homotopy and combinatorial group theory / |
| title_auth | Advances in two-dimensional homotopy and combinatorial group theory / |
| title_exact_search | Advances in two-dimensional homotopy and combinatorial group theory / |
| title_full | Advances in two-dimensional homotopy and combinatorial group theory / edited by Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt, Germany ; Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany. |
| title_fullStr | Advances in two-dimensional homotopy and combinatorial group theory / edited by Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt, Germany ; Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany. |
| title_full_unstemmed | Advances in two-dimensional homotopy and combinatorial group theory / edited by Wolfgang Metzler, Johann Wolfgang Goethe-Universität Frankfurt, Germany ; Stephan Rosebrock, Pädagogische Hochschule Karlsruhe, Germany. |
| title_short | Advances in two-dimensional homotopy and combinatorial group theory / |
| title_sort | advances in two dimensional homotopy and combinatorial group theory |
| topic | Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Combinatorial group theory. http://id.loc.gov/authorities/subjects/sh85028806 Low-dimensional topology. http://id.loc.gov/authorities/subjects/sh85078631 Homotopie. Théorie combinatoire des groupes. Topologie de basse dimension. MATHEMATICS Topology. bisacsh Homotopía embne Análisis combinatorio embne Combinatorial group theory fast Homotopy theory fast Low-dimensional topology fast |
| topic_facet | Homotopy theory. Combinatorial group theory. Low-dimensional topology. Homotopie. Théorie combinatoire des groupes. Topologie de basse dimension. MATHEMATICS Topology. Homotopía Análisis combinatorio Combinatorial group theory Homotopy theory Low-dimensional topology |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1623698 |
| work_keys_str_mv | AT rosebrockstephan advancesintwodimensionalhomotopyandcombinatorialgrouptheory AT metzlerw advancesintwodimensionalhomotopyandcombinatorialgrouptheory |