O'Keefe, M.2009-04-172009-04-1719691969Source: Masters Abstracts International, Volume: 45-06, page: 3172.http://hdl.handle.net/10393/10485http://dx.doi.org/10.20381/ruor-8311This thesis is a study of cell complexes, of the conditions C and W of Whitehead and of CW-complexes. The topological properties of these spaces are considered in some detail and their relevance in algebraic topology examined. Finally the category of CW-complexes is compared to the category of compactly generated spaces (k-spaces) in the spirit of the conditions suggested by Steenrod in "A convenient category of topological spaces".61 p.Mathematics.Thesis