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DC Field | Value | Language |
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dc.contributor.advisor | Bruns, G. | - |
dc.contributor.author | Duskin, John Williford | - |
dc.date.accessioned | 2015-06-24T13:56:04Z | - |
dc.date.available | 2015-06-24T13:56:04Z | - |
dc.date.issued | 1966-05 | - |
dc.identifier.uri | http://hdl.handle.net/11375/17610 | - |
dc.description.abstract | <p> This THESIS comprises the core of Chapter I and a self-contained excerpt from Chapter II of the author's work "Fibred Categories and the Theory of Structures". As such, it contains a recasting of "categorical algebra" on the (BOURBAKI) set-theoretic frame of GROTHENDIECK-SONNERuniverses, making use of the GROTHENDIECK structural definition of category from the beginning. The principle novelties of the presentation result from the exploitation of an intrinsic construction of the arrow category C^2 of a VL -category C. This construction gives rise to the adjunction of a (canonical) (VL-CAT)-category structure to the couple (C^2, C), for which the consequent category structure supplied the couple (CAT(T,C^2), CAT(T, C)) for each category T, is simply that of natural transformations of functors (which as such are nothing more than functors into the arrow category).</p> | en_US |
dc.language.iso | en_US | en_US |
dc.subject | fibred categories, structures, intrinsic, functors | en_US |
dc.title | Fibred Categories and the Theory of Structures - (Part I) | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Duskin_John_W._1966:05_Ph.D..pdf | 6.07 MB | Adobe PDF | View/Open |
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