Topology through inquiry / Michael Starbird and Francis Su.
By: Starbird, Michael [author.].
Contributor(s): Su, Francis Edward [author.].
Material type:
Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Book | Chennai Mathematical Institute General Stacks | 514 STA (Browse shelf) | Available | 10936 |
Includes bibliographical references and index.
Preface: Four ways to use this book -- Introduction: The enchanting world of topology -- Cardinality : to infinity and beyond -- Topological spaces : fundamentals -- Bases, subspaces, products : creating new spaces -- Separation properties : separating this from that -- Countable features of spaces : size restrictions -- Compactness : the next best thing to being finite -- Continuity : when nearby points stay together -- Connectedness : when things don't fall into pieces -- Metric spaces : getting some distance -- Transition from point-set topology to algebraic and geometric topology : similar strategies, different domains -- Classification of 2-manifolds : organizing surfaces -- Fundamental group : capturing holes -- Covering spaces : layering it on -- Manifolds, simplexes, complexes, and triangulability : building blocks -- Simplicial Z₂-homology : physical algebra -- Applications of Z₂-homology : a topological superhero -- Simplicial Z-homology : getting oriented -- Singular homology : abstracting objects to maps -- The end : a beginning-reflections on topology and learning.