Title

A homological approach to differentiation algorithms and dimensions of finite type for representations of partially ordered sets

Date of Award

2005

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Advisor(s)

Mark Kleiner

Keywords

Homological, Partially ordered sets

Subject Categories

Mathematics | Physical Sciences and Mathematics

Abstract

The category of representations of a partially ordered set is studied from a homological point of view. This approach is used to generalize the differentiation algorithms for representations of partially ordered sets with respect to maximal respectively minimal elements. Homological methods and the differentiation procedure are further explored to study dimensions of finite type for representations of partially ordered sets.

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