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Course, academic year 2023/2024
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Topological and Geometric Properties of Convex Sets 1 - NMMA575
Title: Topologické a geometrické vlastnosti konvexních množin 1
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Jiří Spurný, Ph.D., DSc.
Class: M Mgr. MA
M Mgr. MA > Volitelné
Classification: Mathematics > Geometry, Topology and Category
Incompatibility : NRFA073
Annotation -
Last update: T_KMA (26.04.2013)
The lecture is devoted to studying properties of compact convex sets in locally convex spaces.
Aim of the course - Czech
Last update: prof. RNDr. Jiří Spurný, Ph.D., DSc. (23.09.2022)

Přednáška je věnována základním i hlubším vlastnostem kompaktních konvexních množin a jejich aplikacím.

Course completion requirements - Czech
Last update: prof. RNDr. Jiří Spurný, Ph.D., DSc. (23.09.2022)

Zkouška je ústní, přičemž zkoušena bude odpřednesená látka.

Literature - Czech
Last update: prof. RNDr. Jiří Spurný, Ph.D., DSc. (23.09.2022)

Alfsen: Compact convex sets and boundary integrals

Asimow, Ellis: Convexity theory and its applications in functional analysis

Johnson, Lindenstrauss: Handbook of geometry of Banach spaces I, II

Syllabus -
Last update: T_KMA (26.04.2013)

Basics of the Choquet theory, integral representation theorems, simplices, topological properties of extreme points, Poulsen's simplex, Lazar's selection theorem.

Entry requirements -
Last update: T_KMA (26.04.2013)

Basic courses of functional analysis and topology

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