Nerney, J. S. Mac2022-01-262022-01-26197513715436https://hdl.handle.net/10657/8575Let S be a linearly ordered set, {G, =, 0,} a complete normed abelian group, H the set of functions from G to G that take 0 to 0, OA and OM classes of functions from SXS to H that are order-additive and order-multiplicative respectively and satisfy a Lipschitz-type condition, E be J. S. Mac Nerney's reversible mapping from OA onto OM...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