Jean Goubault-Larrecq (Ecole Normale Superieure de Cachan)

Non-Hausdorff Topology and Domain Theory

Selected Topics in Point-Set Topology

• Gebundenes Buch

Produktbeschreibung

This rich mathematical text will help both graduate students and researchers master modern topology and domain theory, the key mathematics behind the semantics of computer languages. It deals with elementary and advanced concepts of topology and the theory is illuminated by many examples, figures and more than 450 exercises.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 497
• Erscheinungstermin: 6. Mai 2013
• Englisch
• Abmessung: 231mm x 155mm x 30mm
• Gewicht: 824g
• ISBN-13: 9781107034136
• ISBN-10: 1107034132
• Artikelnr.: 36772806

Autorenporträt

Jean Goubault-Larrecq is Full Professor of Computer Science at the École Normale Supérieure de Cachan, France. He obtained his PhD in 1993 from the École Polytechnique in the field of automated deduction, and since then he has led an active career in several fields of computer science: logic, computer security, semantics, domain theory, probabilistic and non-deterministic systems. He is currently heading team SECSI (security of information systems) at INRIA, France's national institute for research in computer science and control. He is the recipient of the 2011 CNRS Silver Medal in the field of computer science and its interactions. This is the highest scientific distinction in computer science in France.

Inhaltsangabe

1. Introduction
2. Elements of set theory
3. A first tour of topology: metric spaces
4. Topology
5. Approximation, and function spaces
6. Metrics, quasi-metrics, hemi-metrics
7. Completeness
8. Sober spaces
9. Stably compact spaces, and compact pospaces
References
Notation index
Index.