Hempel, John2018-12-182018-12-181985Chang, Shu-Chu. "Homology of coverings of fibre bundles." (1985) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104584">https://hdl.handle.net/1911/104584</a>.https://hdl.handle.net/1911/104584We give a procedure for computing the rank of the first homology group of any finite sheeted covering space M of a fiber bundle M (over S1). Using the associated free abelian groups Fix g* and Fix g1, we find both upper and lower bounds for the rank of H1(M). In particular, using the free differential calculus and the Reidemeister-Schreier method, we derive a formula for computing rank H1(M) directly in a specific case.61 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE2219reformatted digitalThesis Math. 1985 Chang