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.identifier.uri |
http://hdl.handle.net/1794/23144 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|