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Description: |
The usual assumption to work with the notion of internal category
in some category C is the existence of pullbacks in C. In fact, a minimal
requirement is the existence of pullbacks of split epimorphisms along split
epimorphisms. In this note we will be interested in the notion of internal
category without assuming the existence of pullbacks. For this purpose we
consider an internal category as a structure with the property that some
squares are required to be pullbacks. This approach is useful, for example,
in the study of internal categories relative to some specified class of
split epimorphisms. Some examples of application are provided.
Area(s):
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Date: |
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| Start Time: |
16.45 |
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Speaker: |
Nelson Martins-Ferreira (CDRSP/IP Leiria)
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Place: |
Sala 5.5
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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<Main>
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