## Find a copy in the library

Finding libraries that hold this item...

## Details

Genre/Form: | Textbooks Lehrbuch |
---|---|

Material Type: | Internet resource |

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
John McCleary |

ISBN: | 0821838849 9780821838846 |

OCLC Number: | 62742675 |

Description: | xii, 211 pages : illustrations ; 22 cm. |

Contents: | Introduction -- ch. 1. A little set theory -- Equivalence relations -- The Schröder-Berrnstein theorem -- The problem of invariance of dimension -- ch. 2. Metric and topological spaces -- Continuity -- ch. 3. Geometric notions -- ch. 4. Building new spaces from old -- Subspaces -- Products -- Quotients -- ch. 5. Connectedness -- Path-connectedness -- ch. 6. Compactness -- ch. 7. Homotopy and the fundamental group -- ch. 8. Computations and covering spaces -- ch. 9. The Jordan curve theorem -- Gratings and arcs -- The index of a point not on a Jordan curve -- A proof of the Jordan curve theorem -- ch. 10. Simplicial complexes -- Simplicial mappings and barycentric subdivision -- ch. 11. Homology -- Homology and simplicial mappings -- Topological invariance -- Where from here? -- Bibliography -- Notation index -- Subject index. |

Series Title: | Student mathematical library, v. 31. |

Responsibility: | John McCleary. |

More information: |

### Abstract:

How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. This book focuses on the classical result of the Invariance of Dimension.
Read more...

## Reviews

*User-contributed reviews*

Add a review and share your thoughts with other readers.
Be the first.

Add a review and share your thoughts with other readers.
Be the first.

## Tags

Add tags for "A first course in topology : continuity and dimension".
Be the first.