#### 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.

#### Access

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#### Recommended Citation

Reitenbach, Markus, "A homological approach to differentiation algorithms and dimensions of finite type for representations of partially ordered sets" (2005). *Mathematics - Dissertations.* Paper 27.

http://surface.syr.edu/mat_etd/27

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