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Physical Sciences and Mathematics Commons

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Mathematics

Theses/Dissertations

2009

Homological

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas Jan 2009

The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas

Theses Digitization Project

This thesis deals with the field of algebraic topology. Basic topological facts are addressed including open and closed sets, continuity, homeomorphisms, and path connectedness as well as discussing Van Kampen's Theorem in detail.


The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas Jan 2009

The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas

Theses Digitization Project

This project is an expository survey of the Universal Coefficient Theorem for Cohomology. Algebraic preliminaries, homology, and cohomology are discussed prior to the proof of the theorem.