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Applications Of Descriptive Set Theory In Homotopy Theory, Samuel M. Corson
Applications Of Descriptive Set Theory In Homotopy Theory, Samuel M. Corson
Theses and Dissertations
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.