One of the more important concepts in mathematics is the concept of order, that is, the description or comparison of two elements of a set in terms of one preceding or being smaller than or equal to the other. If the elements of a set, as pairs, exhibit certain order-type characteristics, the set is said to be a partially ordered set. The purpose of this paper is to investigate a special class of partially ordered sets, called lattices, and to investigate topologies induced on these lattices by specially defined order related properties called order-convergence and star-convergence.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc663129 |
| Date | 12 1900 |
| Creators | Dwyer, William Karl |
| Contributors | Mohat, John T., 1924-, Allen, Jeff M. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 46 leaves: ill., Text |
| Rights | Public, Dwyer, William Karl, Copyright, Copyright is held by the author, unless otherwise noted. All rights |
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