Date of Submission

Spring 2013

Academic Program

Mathematics

Project Advisor 1

Ethan Bloch

Abstract/Artist's Statement

A partially ordered set (poset) is a set along with an associated partial order. Homology is a method from algebraic topology of assigning a sequence of abelian groups to a topological space. It is standard to define the homology of a poset as the homology of the order complex of the poset. We introduce a new notion of mod 2 homology of a certain type of poset and explore the properties of this version of poset homology. We also attempt to discover when our mod 2 homology agrees with the usual homology on posets.

Distribution Options

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Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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