Cargando…
Proper maps of toposes /
We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2000.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 705. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn851088842 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un||||||||| | ||
| 008 | 130627s2000 riua ob 000 0 eng d | ||
| 040 | |a GZM |b eng |e pn |c GZM |d OCLCO |d COO |d UIU |d OCLCF |d LLB |d E7B |d OCLCQ |d EBLCP |d YDXCP |d OCLCQ |d AU@ |d UKAHL |d OCLCQ |d QGK |d LEAUB |d VT2 |d UAB |d K6U |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 908039739 |a 922981963 |a 1086551706 |a 1241848623 |a 1256354176 | ||
| 020 | |a 9781470402969 | ||
| 020 | |a 1470402963 | ||
| 020 | |z 9780821821688 | ||
| 020 | |z 0821821687 | ||
| 029 | 1 | |a AU@ |b 000069468068 | |
| 035 | |a (OCoLC)851088842 |z (OCoLC)908039739 |z (OCoLC)922981963 |z (OCoLC)1086551706 |z (OCoLC)1241848623 |z (OCoLC)1256354176 | ||
| 050 | 4 | |a QA3 |b .A57 no. 705 |a QA169 | |
| 082 | 0 | 4 | |a 510 s 512/.55 |2 21 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Moerdijk, Ieke. | |
| 245 | 1 | 0 | |a Proper maps of toposes / |c I. Moerdijk, J.J.C. Vermeulen. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2000. | ||
| 300 | |a 1 online resource (ix, 108 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 705 | |
| 504 | |a Includes bibliographical references (pages 107-108). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski | |
| 505 | 0 | 0 | |t Introduction |t I. Proper maps |t II. Separated maps |t III. Tidy maps |t IV. Strongly separated maps |t V. Relatively tidy maps and lax descent. |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Toposes. | |
| 650 | 0 | |a Mappings (Mathematics) | |
| 650 | 6 | |a Topos (Mathématiques) | |
| 650 | 6 | |a Applications (Mathématiques) | |
| 650 | 7 | |a Mappings (Mathematics) |2 fast | |
| 650 | 7 | |a Toposes |2 fast | |
| 700 | 1 | |a Vermeulen, J. J. C. |q (Jacob Johan Caspar), |d 1957- |1 https://id.oclc.org/worldcat/entity/E39PCjFwFFpQ3yQKjKFwXY8FXd | |
| 758 | |i has work: |a Proper maps of toposes (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGm4Dx6qkvqPxw7q3rVGMd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Moerdijk, Ieke. |t Proper maps of toposes / |x 0065-9266 |z 9780821821688 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 705. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114386 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35005953 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3114386 | ||
| 938 | |a ebrary |b EBRY |n ebr11041164 | ||
| 938 | |a YBP Library Services |b YANK |n 12375420 | ||
| 994 | |a 92 |b IZTAP | ||