dc.contributor.advisor | Ünlü, Özgün | en_US |
dc.contributor.author | Özkan Recep | en_US |
dc.date.accessioned | 2016-07-01T11:11:48Z | |
dc.date.available | 2016-07-01T11:11:48Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/11693/30074 | |
dc.description | Cataloged from PDF version of article. | en_US |
dc.description.abstract | In algebraic topology and differential geometry, most categories lack some good
”convenient” properties like being cartesian closed, having pullbacks, pushouts,
limits, colimits... We will introduce the notion of continuous spaces which is
more general than the concept of topological manifolds but more specific when
compared to topological spaces. After that, it will be shown that the category of
continuous spaces have ”convenient” properties we seek. For this, we first define
concrete sites, concrete sheaves and say that a generalized space is a concrete sheaf
over a given concrete site. Then it will be proved that a category of generalized
spaces (for a given concrete site) has all limits and colimits. At the end, it will
be proved that the category of continuous spaces is actually equivalent to the
category of generalized spaces for a specific concrete site. | en_US |
dc.description.statementofresponsibility | Özkan Recep | en_US |
dc.format.extent | vii, 33 leaves | en_US |
dc.language.iso | English | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Site and Sheaves | en_US |
dc.subject | Generalized spaces | en_US |
dc.subject.lcc | B151174 | en_US |
dc.title | Concrete sheaves and continuous spaces | en_US |
dc.type | Thesis | en_US |
dc.department | Department of Mathematics | en_US |
dc.publisher | Bilkent University | en_US |
dc.description.degree | Ph.D. | en_US |
dc.identifier.itemid | B151174 | |