Math Department (Thesis/2008-09)

Lattices in Algebra and/or Topology

Under the direction of: Susan Niefield

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If you took at least one of Math 219, Math 332, and Math 436, this may be a topic for you. In Math 219, did you ever think about the subgraphs of a particular graph and their relationship to each other? In Math 332, did you ever think about the subgroups of a particular group and their relationship to each other? In Math 436, did you ever wonder about the open sets of a topological space and their relationship to each other? If you find any of these questions interesting, you may want to study lattice theory. A lattice is a certain type of ordered set. The set of all subgraphs of a graph, the set of all subgroups of a group, and the set of open sets of a topological space each form a lattice. For this topic, you would study introductory lattice theory and its applications to graph theory, algebra, and/or topology.

Math Department web pages Created: 15 Apr 2002 Last modified: 25 Apr 2008 15:39:43 Comments to: math@union.edu

Thesis Topics - S. Niefield Thesis Topics for 2008-2009 Thesis Topics - S. Niefield