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Non-Hausdorff Topology and Domain Theory : Selected Topics in Point-Set Topology.
Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2013.
|
| Colección: | New mathematical monographs.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn881162607 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 140607s2013 nyu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCO |d DEBSZ |d OCLCQ |d UUM |d OCLCO |d OCLCF |d OCLCQ |d OCLCO |d OCL |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781107335219 | ||
| 020 | |a 1107335213 | ||
| 020 | |a 9781107333550 | ||
| 020 | |a 1107333555 | ||
| 020 | |z 9781107034136 | ||
| 029 | 1 | |a AU@ |b 000055981350 | |
| 029 | 1 | |a DEBSZ |b 407696342 | |
| 035 | |a (OCoLC)881162607 | ||
| 050 | 4 | |a QA611.19 ǂb G68 2013eb | |
| 082 | 0 | 4 | |a 514.34 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Goubault-Larrecq, Jean. | |
| 245 | 1 | 0 | |a Non-Hausdorff Topology and Domain Theory : |b Selected Topics in Point-Set Topology. |
| 260 | |a New York : |b Cambridge University Press, |c 2013. | ||
| 300 | |a 1 online resource (500 pages) | ||
| 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 New Mathematical Monographs ; |v v. 22 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Contents; 1 Introduction; 2 Elements of set theory; 2.1 Foundations; 2.2 Finiteness, countability; 2.3 Order theory; 2.4 The Axiom of Choice; 3 A first tour of topology: metric spaces; 3.1 Metric spaces; 3.2 Convergence, limits; 3.3 Compact subsets; 3.4 Complete metric spaces; 3.5 Continuous functions; 4 Topology; 4.1 Topology, topological spaces; 4.2 Order and topology; 4.3 Continuity; 4.4 Compactness; 4.5 Products; 4.6 Coproducts; 4.7 Convergence and limits; 4.8 Local compactness; 4.9 Subspaces; 4.10 Homeomorphisms, embeddings, quotients, retracts; 4.11 Connectedness. | |
| 505 | 8 | |a 4.12 A bit of category theory I5 Approximation and function spaces; 5.1 The way-below relation; 5.2 The lattice of open subsets of a space; 5.3 Spaces of continuous maps; 5.4 The exponential topology; 5.5 A bit of category theory II; 5.6 C-Generated spaces; 5.7 bc-domains; 6 Metrics, quasi-metrics, hemi-metrics; 6.1 Metrics, hemi-metrics, and open balls; 6.2 Continuous and Lipschitz maps; 6.3 Topological equivalence, hemi-metrizability, metrizability; 6.4 Coproducts, quotients; 6.5 Products, subspaces; 6.6 Function spaces; 6.7 Compactness and symcompactness; 7 Completeness. | |
| 505 | 8 | |a 7.1 Limits, d-limits, and Cauchy nets7.2 A strong form of completeness: Smyth-completeness; 7.3 Formal balls; 7.4 A weak form of completeness: Yoneda-completeness; 7.5 The formal ball completion; 7.6 Choquet-completeness; 7.7 Polish spaces; 8 Sober spaces; 8.1 Frames and Stone duality; 8.2 Sober spaces and sobrification; 8.3 The Hofmann -- Mislove Theorem; 8.4 Colimits and limits of sober spaces; 9 Stably compact spaces and compact pospaces; 9.1 Stably locally compact spaces, stably compact spaces; 9.2 Coproducts and retracts of stably compact spaces. | |
| 505 | 8 | |a 9.3 Products and subspaces of stably compact spaces9.4 Patch-continuous, perfect maps; 9.5 Spectral spaces; 9.6 Bifinite domains; 9.7 Noetherian spaces; References; Notation index; Index. | |
| 520 | |a Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Topology |v Problems, exercises, etc. | |
| 650 | 0 | |a Topology. | |
| 650 | 6 | |a Topologie |v Problèmes et exercices. | |
| 650 | 6 | |a Topologie. | |
| 650 | 7 | |a Topology |2 fast | |
| 655 | 7 | |a Problems and exercises |2 fast | |
| 758 | |i has work: |a Non-Hausdorff topology and domain theory (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFHvmMkq3kvbHvpfrHhTBK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Goubault-Larrecq, Jean. |t Non-Hausdorff Topology and Domain Theory : Selected Topics in Point-Set Topology. |d New York : Cambridge University Press, ©2013 |z 9781107034136 |
| 830 | 0 | |a New mathematical monographs. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1139619 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1139619 | ||
| 994 | |a 92 |b IZTAP | ||