In this dissertation, we construct homogeneous continua by using a fibered product of a homogeneous continuum X with itself. The space X must have a continuous decomposition into continua, and it must possess a certain type of homogeneity property with respect to this decomposition It is known that the points of any one-dimensional, homogeneous continuum can be 'blown up' into pseudo-arcs to form a new continuum with a continuous decomposition into pseudo-arcs. We will show that these continua can be used in the above construction Finally, we will show that the continuum constructed by using the pseudo-arcs, the circle of pseudo-arcs, or the solenoid of pseudo-arcs is not homeomorphic to any known homogeneous continuum / acase@tulane.edu
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_24251 |
| Date | January 1991 |
| Contributors | Villarreal, Karen Mary (Author), Rogers, James T (Thesis advisor) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Rights | Access requires a license to the Dissertations and Theses (ProQuest) database., Copyright is in accordance with U.S. Copyright law |
Page generated in 0.0064 seconds