Homological algebra in categories of Banach spaces /
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 o...
| Main Author: | |
|---|---|
| Format: | Thesis eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1999.
|
| Subjects: | |
| Online Access: | Link to OAKTrust copy |
| Summary: | 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. |
|---|---|
| Item Description: | "Major subject: Mathematics". Vita. |
| Physical Description: | vi, 35 leaves ; 28 cm. Also available online. Issued also on microfiche from Lange Micrographics. |
| Bibliography: | Includes bibliographical references (leaves 33-34). |