Issued also as thesis, Bonn. / Added t.p. with thesis statement. Includes bibliographical references (p. 62-63).

Issued also as thesis, Bonn. / Added t.p. with thesis statement. Includes bibliographical references (p. 62-63).

Thesis (Ph. D.)--University of Oregon, 2002. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 71-73). Also available for download via the World Wide Web; free to University of Oregon users.

Thesis (doctoral)--Rheinischen Friedrich-Wilhelms-Universität, Bonn, 1985.

Theorem : Let X be simply connected . H[sub q](X) be finitely generated for each q. π[sub q](X) be finite for each q < n. n>> 1. Then , H[sub q] , π[sub q](X) --> H[sub q](X) has finite kernel for q < 2n has finite cokernel for q < 2n+l ker h[sub 2n+1] Q = ker u where , u is the cup product or the square free cup product on R[sup n+1](x) depending on whether n+1 is even or odd , respectively . ( R[sup N+1](X) is a quotient group of H[sub Q][sup n+1](x) to be defined in this thesis ) / Science, Faculty of / Mathematics, Department of / Graduate

No description available.

No description available.

No description available.

Nesse trabalho combinamos a teoria de Nielsen de pontos fixos com a teoria dos grupos de transformações para dar condições necessárias e sucientes para realizar um subconjunto A localmente contrátil de X G - como o conjunto de pontos xos de uma apli- h : X X em uma classe de homotopia equivariante dada, onde G é X é uma G -variedade suave e compacta. Além disso, se X é o espaço total de um G -brado localmente trivial demos condições cação equivariante um grupo de Lie compacto e necessárias e sucientes para o correspondente problema de realização para aplicações G -equivariantes que preservam bra, onde G é um grupo nito. / In this work, we combine the Nielsen fixed point theory with the transformation group theory to present necessary and sucient conditions for the realization of a locally contrac- G -subset A of X as the xed point set of a map h : X X in a given G -homotopy class. Here, G is a compact Lie group and X is a compact smooth G -manifold. In adition, if X is the total space of a G -ber bundle we present necessary and sucient conditions for the corresponding realization problem for G -ber-preserving maps when G tible is a nite group.

The Periodicity theorem of Hopkins and Smith tells us that any finite spectrum supports a $v_n$-map for some $n$. We are interested in finding finite $2$-local spectra that both support a $v_2$-map with a low power of $v_2$ and have few cells. Following the process outlined in Palmieri-Sadofsky, we study a related class of self-maps, known as $u_2$-maps, between stably finite spectra. We construct examples of spectra that might be expected to support $u_2^1$-maps, and then we use Margolis homology and homological algebra computations to show that they do not support $u_2^1$-maps. We also show that one example does not support a $u_2^2$-map. The nonexistence of $u_2$-maps on these spectra eliminates certain examples from consideration by this technique.