HKUST Library Institutional Repository Banner

HKUST Institutional Repository >
Mathematics >
MATH Master Theses  >

Please use this identifier to cite or link to this item:
Title: A combinatorial view of cellular homology
Authors: Yeung, Tin Wing
Issue Date: 2011
Abstract: Cellular homology is a homology theory for CW complexes. Comparing to simplicial homology, cellular homology seems more abstract since its chain complexes are singular homology groups of CW complexes. In this thesis, we develop a combinatorial approach to rebuild cellular homology which does not rely on singular homology of CW complexes. Triangulability is a key assumption in this approach and it makes the treatment elementary and easy for computation. An isomorphism between combinatorial cellular homology and the original cellular homology based on singular homology will be established. The comparison between the two is discussed.
Description: Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2011
viii, 60 p. : ill. ; 30 cm
HKUST Call Number: Thesis MATH 2011 Yeung
Appears in Collections:MATH Master Theses

Files in This Item:

File Description SizeFormat

All items in this Repository are protected by copyright, with all rights reserved.