Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)
A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)
Resource Information
The item A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This welcome boon for students of algebraic topology cuts a muchneeded central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, studentcentred approach details a nearcomplete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a workinprogress, the text introduces key notions such as fundamental groups, homology groups, and the EulerPoincarĂ© characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology
 Language
 eng
 Extent
 XII, 178 p. 40 illus., 20 illus. in color.
 Contents

 The Classification Theorem: Informal Presentation
 Surfaces
 Simplices, Complexes, and Triangulations
 The Fundamental Group, Orientability
 Homology Groups
 The Classification Theorem for Compact Surfaces
 Viewing the Real Projective Plane in R3
 Proof of Proposition 5.1
 Topological Preliminaries
 History of the Classification Theorem
 Every Surface Can be Triangulated
 Notes
 Isbn
 9783642343643
 Label
 A Guide to the Classification Theorem for Compact Surfaces
 Title
 A Guide to the Classification Theorem for Compact Surfaces
 Statement of responsibility
 by Jean Gallier, Dianna Xu
 Subject

 Topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Algebraic Topology
 Mathematics
 Algebraic Topology
 Algebraic topology
 Topology
 Cell aggregation  Mathematics
 Algebraic topology
 Topology
 Electronic resources
 Mathematics
 Cell aggregation  Mathematics
 Cell aggregation  Mathematics
 Algebraic topology
 Algebraic Topology
 Language
 eng
 Summary
 This welcome boon for students of algebraic topology cuts a muchneeded central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, studentcentred approach details a nearcomplete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a workinprogress, the text introduces key notions such as fundamental groups, homology groups, and the EulerPoincarĂ© characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology
 http://library.link/vocab/creatorName
 Gallier, Jean
 Image bit depth
 0
 LC call number
 QA611614.97
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Xu, Dianna.
 SpringerLink
 Series statement
 Geometry and Computing,
 Series volume
 9
 http://library.link/vocab/subjectName

 Mathematics
 Topology
 Algebraic topology
 Cell aggregation
 Mathematics
 Topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Algebraic Topology
 Label
 A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 The Classification Theorem: Informal Presentation  Surfaces  Simplices, Complexes, and Triangulations  The Fundamental Group, Orientability  Homology Groups  The Classification Theorem for Compact Surfaces  Viewing the Real Projective Plane in R3  Proof of Proposition 5.1  Topological Preliminaries  History of the Classification Theorem  Every Surface Can be Triangulated  Notes
 Dimensions
 unknown
 Extent
 XII, 178 p. 40 illus., 20 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642343643
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642343643
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642343643
 Label
 A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 The Classification Theorem: Informal Presentation  Surfaces  Simplices, Complexes, and Triangulations  The Fundamental Group, Orientability  Homology Groups  The Classification Theorem for Compact Surfaces  Viewing the Real Projective Plane in R3  Proof of Proposition 5.1  Topological Preliminaries  History of the Classification Theorem  Every Surface Can be Triangulated  Notes
 Dimensions
 unknown
 Extent
 XII, 178 p. 40 illus., 20 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642343643
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642343643
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642343643
Subject
 Algebraic Topology
 Algebraic Topology
 Algebraic Topology
 Algebraic topology
 Algebraic topology
 Algebraic topology
 Cell aggregation  Mathematics
 Cell aggregation  Mathematics
 Cell aggregation  Mathematics
 Electronic resources
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Mathematics
 Mathematics
 Mathematics
 Topology
 Topology
 Topology
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AGuidetotheClassificationTheoremforCompact/wv7rSeJC6zA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AGuidetotheClassificationTheoremforCompact/wv7rSeJC6zA/">A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AGuidetotheClassificationTheoremforCompact/wv7rSeJC6zA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AGuidetotheClassificationTheoremforCompact/wv7rSeJC6zA/">A Guide to the Classification Theorem for Compact Surfaces, by Jean Gallier, Dianna Xu, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>