2022-01-262022-01-26197313695463https://hdl.handle.net/10657/8605This dissertation considers microbundles with no restriction on their fiber space. The first part of this dissertation extends some of the basic theorems about finite dimensional microbundles. Induced microbundles are defined and shown to behave like pull backs. Induced microbundles are then shown to have a homotopy invariance property. In the later chapters attention is restricted to microbundles with normed spaces as fibers. "Fredholm" type structures are defined and a microbundle k-theory is introduced. Inductive limits of microbundles are discussed and the k-theory of simplicial complexes is investigated.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital