Enrichment through variation:
Abstract: "We show that, for a closed bicategory W, the 2- category of tensored W-categories and all W-functors between them is equivalent to the 2-category of closed W-representations and maps of such, which in turn is isomorphic to a full sub-2-category of Lax(W, Cat). We further show that, i...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Edinburgh
1993
|
| Schriftenreihe: | Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series
254 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We show that, for a closed bicategory W, the 2- category of tensored W-categories and all W-functors between them is equivalent to the 2-category of closed W-representations and maps of such, which in turn is isomorphic to a full sub-2-category of Lax(W, Cat). We further show that, if [omega] is a locally dense subbicategory of W and W is biclosed, then the 2-category of W-categories having tensors with 1- cells of [omega] embeds fully into the 2-category of [omega]- representations This allows us to generalize Gabriel-Ulmer duality to W- categories and to prove, for W-categories, that for locally finitely presentable A and for B admitting finite tensors and filtered colimits, the category of W-functors from A[subscript f] to B is equivalent to that of finitary W-functors from A to B. |
| Beschreibung: | 22 S. |
Internformat
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| 100 | 1 | |a Gordon, Robert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Enrichment through variation |c R. Gordon ; A. J. Power |
| 264 | 1 | |a Edinburgh |c 1993 | |
| 300 | |a 22 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series |v 254 | |
| 520 | 3 | |a Abstract: "We show that, for a closed bicategory W, the 2- category of tensored W-categories and all W-functors between them is equivalent to the 2-category of closed W-representations and maps of such, which in turn is isomorphic to a full sub-2-category of Lax(W, Cat). We further show that, if [omega] is a locally dense subbicategory of W and W is biclosed, then the 2-category of W-categories having tensors with 1- cells of [omega] embeds fully into the 2-category of [omega]- representations | |
| 520 | 3 | |a This allows us to generalize Gabriel-Ulmer duality to W- categories and to prove, for W-categories, that for locally finitely presentable A and for B admitting finite tensors and filtered colimits, the category of W-functors from A[subscript f] to B is equivalent to that of finitary W-functors from A to B. | |
| 650 | 7 | |a Applied statistics, operational research |2 sigle | |
| 650 | 7 | |a Computer software |2 sigle | |
| 650 | 4 | |a Categories (Mathematics) | |
| 700 | 1 | |a Power, Anthony John |e Verfasser |4 aut | |
| 830 | 0 | |a Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series |v 254 |w (DE-604)BV008930032 |9 254 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006448413 | ||
Datensatz im Suchindex
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| author | Gordon, Robert Power, Anthony John |
| author_facet | Gordon, Robert Power, Anthony John |
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| bvnumber | BV009748742 |
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| id | DE-604.BV009748742 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:40:13Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006448413 |
| oclc_num | 28491263 |
| open_access_boolean | |
| physical | 22 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| record_format | marc |
| series | Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series |
| series2 | Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series |
| spelling | Gordon, Robert Verfasser aut Enrichment through variation R. Gordon ; A. J. Power Edinburgh 1993 22 S. txt rdacontent n rdamedia nc rdacarrier Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series 254 Abstract: "We show that, for a closed bicategory W, the 2- category of tensored W-categories and all W-functors between them is equivalent to the 2-category of closed W-representations and maps of such, which in turn is isomorphic to a full sub-2-category of Lax(W, Cat). We further show that, if [omega] is a locally dense subbicategory of W and W is biclosed, then the 2-category of W-categories having tensors with 1- cells of [omega] embeds fully into the 2-category of [omega]- representations This allows us to generalize Gabriel-Ulmer duality to W- categories and to prove, for W-categories, that for locally finitely presentable A and for B admitting finite tensors and filtered colimits, the category of W-functors from A[subscript f] to B is equivalent to that of finitary W-functors from A to B. Applied statistics, operational research sigle Computer software sigle Categories (Mathematics) Power, Anthony John Verfasser aut Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series 254 (DE-604)BV008930032 254 |
| spellingShingle | Gordon, Robert Power, Anthony John Enrichment through variation Laboratory for Foundations of Computer Science <Edinburgh>: LFCS report series Applied statistics, operational research sigle Computer software sigle Categories (Mathematics) |
| title | Enrichment through variation |
| title_auth | Enrichment through variation |
| title_exact_search | Enrichment through variation |
| title_full | Enrichment through variation R. Gordon ; A. J. Power |
| title_fullStr | Enrichment through variation R. Gordon ; A. J. Power |
| title_full_unstemmed | Enrichment through variation R. Gordon ; A. J. Power |
| title_short | Enrichment through variation |
| title_sort | enrichment through variation |
| topic | Applied statistics, operational research sigle Computer software sigle Categories (Mathematics) |
| topic_facet | Applied statistics, operational research Computer software Categories (Mathematics) |
| volume_link | (DE-604)BV008930032 |
| work_keys_str_mv | AT gordonrobert enrichmentthroughvariation AT poweranthonyjohn enrichmentthroughvariation |