Constructing a v2 Self Map at p=3
| dc.contributor.advisor | Sadofsky, Hal | |
| dc.contributor.author | Reid, Benjamin | |
| dc.date.accessioned | 2017-09-06T21:46:48Z | |
| dc.date.available | 2017-09-06T21:46:48Z | |
| dc.date.issued | 2017-09-06 | |
| dc.description.abstract | Working at the prime p = 3, we construct a stably finite spectrum, Z, with a v_2^1 self map f. Further, both Ext_A(H*(Z),Z_3) and Ext_A(H*(Z),H*(Z)) have a vanishing line of slope 1/16 in (t-s,s) coordinates, and the map f is represented by an element a of Ext where multiplication by a is parallel to the vanishing line. To accomplish this construction, we prove a result about the connection between particular self maps of spectra and their effect on the Margolis homology of related modules over the Steenrod Algebra. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/22690 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | Algebraic topology | en_US |
| dc.subject | Stable Homotopy Theory | en_US |
| dc.subject | v_n Periodicity | en_US |
| dc.title | Constructing a v2 Self Map at p=3 | |
| 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. |
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