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/

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

Included in

Mathematics Commons

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