Beschreibung:
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.
Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.
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.