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Topological and Geometric Properties of Convex Sets I - NRFA073

Title:	Topologické a geometrické vlastnosti konvexních množin I
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
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:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Class:	DS, matematická analýza
Classification:	Mathematics > Geometry
Is incompatible with:	NMMA575

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KMA (23.05.2008)

The lecture is devoted to studying properties of compact convex sets in locally convex spaces.

Aim of the course - Czech

Last update: T_KMA (03.05.2007)

Prednáška je venována základním i hlubším vlastnostem kompaktních konvexních množin a jejich aplikacím.

Literature - Czech

Last update: T_KMA (03.05.2007)

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 (23.05.2008)

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 (23.05.2008)

Basic courses of functional analysis and topology