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Homological algebra in categories of Banach spaces
| dc.creator | Brown, April D. | |
| dc.date.accessioned | 2012-06-07T22:55:01Z | |
| dc.date.available | 2012-06-07T22:55:01Z | |
| dc.date.created | 1999 | |
| dc.date.issued | 1999 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-1999-THESIS-B762 | |
| dc.description | Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to digital@library.tamu.edu, referencing the URI of the item. | en |
| dc.description | Includes bibliographical references (leaves 33-34). | en |
| dc.description | Issued also on microfiche from Lange Micrographics. | en |
| dc.description.abstract | In this paper I wish to develop basic algebraic concepts, category theory, and homology theory in the world of Banach spaces. We begin by defining such terms as morphisms and exact sequences, and considering what these terms mean in Banach spaces. We explore category theory, using Banach spaces as our primary examples, before entering into an explanation of homology theory. Once we traverse this last theory, we apply a few ideas to categories and homologies of Banach spaces which might appear interesting to the audience. | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en_US | |
| dc.publisher | Texas A&M University | |
| dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
| dc.subject | mathematics. | en |
| dc.subject | Major mathematics. | en |
| dc.title | Homological algebra in categories of Banach spaces | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | mathematics | en |
| thesis.degree.name | M.S. | en |
| thesis.degree.level | Masters | en |
| dc.type.genre | thesis | en |
| dc.type.material | text | en |
| dc.format.digitalOrigin | reformatted digital | en |
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