Sewings of closed four-cell complements

Author

Steven A. Pax

Date of Award

8-1981

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Robert J Daverman

Abstract

This dissertation makes four contributions to the theory of four dimensional sewings. First, two new concepts are introduced and explored extensively; one is shown to lead to a classification of closed four-cell complements which is analogous to the classification of closed n-cell complements (n > 5) by types. Second, we find wide classes of closed four-cell complements for which the 4 identity sewing yields S⁴. Third, we show that suspensions of closed three-cell complements are universal, and we make other investigations into universality. Fourth and last, we adapt five pathological examples from the theory of high dimensional sewings to the case n = 4.

Recommended Citation

Pax, Steven A., "Sewings of closed four-cell complements. " PhD diss., University of Tennessee, 1981.
https://trace.tennessee.edu/utk_graddiss/13498