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http://hdl.handle.net/2445/119256
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DC Field | Value | Language |
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dc.contributor.advisor | Casacuberta, Carles | - |
dc.contributor.author | Asensio Abella, Andrés | - |
dc.date.accessioned | 2018-01-24T11:26:17Z | - |
dc.date.available | 2018-01-24T11:26:17Z | - |
dc.date.issued | 2016-09-11 | - |
dc.identifier.uri | http://hdl.handle.net/2445/119256 | - |
dc.description | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2016, Director: Carles Casacuberta | ca |
dc.description.abstract | The central topic of this work is the concept of acyclic spaces in topological K-theory and their analogues in algebraic K-theory. We start by describing topological K-theory and some basic results, such as representability by a spectrum. Next we discuss algebraic K-theory and some of its properties, including Swan’s theorem, followed by the topological tools required to construct higher algebraic K-theory by means of Quillen’s plus-construction. Finally, we describe a class of rings whose algebraic K-theory groups vanish in all dimensions. In fact each ring $R$ admits a cone $CR$ with $K_i (CR) = 0$ for all i and a suspension $SR$ that is used to define negative K-theory groups of R in analogy with the topological case. | ca |
dc.format.extent | 73 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-nc-nd (c) Andrés Asensio Abella, 2016 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | - |
dc.source | Màster Oficial - Matemàtica Avançada | - |
dc.subject.classification | K-teoria | cat |
dc.subject.classification | Espais topològics | cat |
dc.subject.classification | Treballs de fi de màster | cat |
dc.subject.classification | Anells commutatius | ca |
dc.subject.other | K-theory | eng |
dc.subject.other | Topological spaces | eng |
dc.subject.other | Master's theses | eng |
dc.title | Acyclicity in Algebraic K-theory | ca |
dc.type | info:eu-repo/semantics/masterThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Màster Oficial - Matemàtica Avançada |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 1.29 MB | Adobe PDF | View/Open |
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