Sahukar, Manasi Kumari (2015) *Homology Theory for CW-Complexes.* MSc thesis.

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## Abstract

In this thesis we will have a study on homology theory of CW- complexes with an emphasis on finite-dimensional CW-complexes. We will first give a brief introduction on basic definitions and basic preliminaries of topological space and definition of CW-complexes and brief discussion on some important keywords in CW-complexes. Then certain definitions on singular homology theory of CW-complexes will be discussed. Then, we will give a brief discussion on axioms of homology theory for topological spaces and axioms of homology theory for CW-complexes. Finally, we will discuss Whitehead theorem and its proof.

Item Type: | Thesis ( MSc) |
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Uncontrolled Keywords: | Topology, Homotopy Group, Homology Group, Singular Homology Theory, CW-Complexes |

Subjects: | Mathematics and Statistics > Topology |

Divisions: | Sciences > Department of Mathematics |

ID Code: | 7880 |

Deposited By: | Mr. Sanat Kumar Behera |

Deposited On: | 16 Sep 2016 17:03 |

Last Modified: | 16 Sep 2016 17:03 |

Supervisor(s): | Behera, A |

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