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Sphericals And Primitives Classes In The Bordism Of Compact Lie Groups, Rodrigo-Guillermo Moreno-Rodriguez
Sphericals And Primitives Classes In The Bordism Of Compact Lie Groups, Rodrigo-Guillermo Moreno-Rodriguez
Digitized Theses
The main purpose of this thesis is to study the following question: Do primitives and sphericals agree in MU(,*)(X)/tor when X is a 1-connected compact Lie group. Our answers appear in Part IV for the classical groups (stable cases) and in Part V for two exceptional cases namely G(,2) and F(,4) (ignoring the prime 2).;The main tool for our study is the rational MU operation P : MU(,*)(X)(CRTIMES) (--->) MU(,*)(X)(CRTIMES) ; P = (SIGMA)(,E) m(,E)S(,E) which detects primitives rationally. Our method is to find the least positive integer k(,(alpha)) (ELEM) such that k(,(alpha))P((alpha)) (ELEM) MU(,*)(X)/tor (L-HOOK) MU(,*)(X)(CRTIMES) for (alpha) …
Localized Algebraic K-Theory, Felipe De Zaldivar-Cruz
Localized Algebraic K-Theory, Felipe De Zaldivar-Cruz
Digitized Theses
Let K(,*)(A; /L('n)) denote the mod-L('n) algebraic K-theory of a 1/L -algebra A. V. Snaith has studied Bott-periodic algebraic K-theory K(,i)(A; /L('n)) 1/(beta)(,n) , the direct limit of iterated multiplications by (beta)(,n), the 'Bott element', using the K-theory product. For L an odd prime, Snaith has given a description of K(,*)(A; /L('n))(1/(beta)(,n)) using Adams maps between Moore spectra. These constructions are interesting, in particular, for their connections with the Lichtenbaum-Quillen conjecture.;In this thesis we obtain an analogous description of K(,*)(A; /2('n)) 1/(beta)(,n) , n (GREATERTHEQ) 2, for an algebra A with 1/2 (ELEM) A and such that A contains a …
Numerical Techniques For Free Surface Problems In Viscous Incompressible And Porous Flows, Ching Yuen Loh
Numerical Techniques For Free Surface Problems In Viscous Incompressible And Porous Flows, Ching Yuen Loh
Digitized Theses
Three free surface problems have been investigated. The first two involve incompressible flows and the last one involves porous flow. These problems are solved numerically by finite difference technique. In each problem the original physical domain with a free surface is transformed into a rectangular domain and then the appropriate finite difference schemes are used in the new transformed domain to carry out the computation.;In the first problem the attenuation of a large amplitude standing capillary-gravity wave is considered. A finite difference scheme similar to the Crank-Nicolson scheme is developed to handle the equation of the free surface. Convergent numerical …
A Tauberian Theorem Concerning Borel-Type And Cesaro Methods Of Summability, Tom Nik Markovich
A Tauberian Theorem Concerning Borel-Type And Cesaro Methods Of Summability, Tom Nik Markovich
Digitized Theses
Let r > 0, (alpha) > 0, (alpha)N(,o) + (beta) > 0 where N(,o) is a non-negative integer, and let;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI);The Borel-type summability method (B,(alpha),(beta)) is defined as follows: s(,n) (--->) L(B,(alpha),(beta)) or;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI);The special case (B,1,1) is the ordinary Borel exponential method B.;The main result of this thesis is the following Tauberian theorem for summability (B,(alpha),(beta)):;If s(,n) is a real sequence that satisfies the slowly decreasing condition;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI);and s(,n) (--->) L(B,(alpha),(beta)), then s(,n) (--->) L(C(,2r)). Here C(,2r) denotes the Cesaro method of order 2r.;In …