Abstract
This thesis presents new theorems in homotopy theory, in particular it generalizes a theorem of Saharon Shelah. We employ a technique used by Janusz Pawlikowski to show that certain Peano continua have a least nontrivial homotopy group that is finitely presented or of cardinality continuum. We also use this technique to give some relative consistency results.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Corson, Samuel M., "Applications of Descriptive Set Theory in Homotopy Theory" (2010). Theses and Dissertations. 2401.
https://scholarsarchive.byu.edu/etd/2401
Date Submitted
2010-03-15
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd3472
Keywords
compact metric space, descriptive set theory, homotopy theory
Language
English