Periodic Margolis Self Maps at p=2

dc.contributor.advisor	Sadofsky, Hal
dc.contributor.author	Merrill, Leanne
dc.date.accessioned	2018-04-10T15:02:54Z
dc.date.available	2018-04-10T15:02:54Z
dc.date.issued	2018-04-10
dc.description.abstract	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.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/23144
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	Algebraic topology	en_US
dc.subject	Homotopy theory	en_US
dc.title	Periodic Margolis Self Maps at p=2
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

Files

Now showing 1 - 1 of 1