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Definability in the extended arithmetic of ordinal numbers

John Doner — 1972

CONTENTSIntroduction.................................................................................................................... 5Section 1. The generalized normal form.................................................................. 9Section 2. Definability of ordinals by means of the higher operations............... 18Section 3. Endomorphisms of Ω............................................................................... 28References.......................................................................................................................

Higher Reidemeister torsion and parametrized Morse theory

Klein, John R. — 1993

Proceedings of the Winter School "Geometry and Physics"

This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher R -torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs ( M , f ) , where M is a compact smooth manifold and f is a Morse function on M , into a moduli space for finite cell complexes.In section two the results of section one are...

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