Czech

Not applicable.

The students will acquire knowledge of basic topological concepts and their properties and will understand the important role topology playes in mathematical analysis. They will also learn to solve simple topological problems and apply the results obtained into other mathematical disciplines and computer science

All knowledge of the courses oriented on algebra and analysis that are taught in the bachelor's and master's study of Mathematical Engineering.

Not applicable.

The course is taught through lectures explaining the basic principles and methods of applied topology including examples.

Students are to pass an exam consisting of the written and oral parts. During the exam, their knowledge of the concepts introduced and of the basic propertief of these concepts will be assessed. Also their ability to use theoretic results for solving concrete problems will be evaluated.

Not applicable.

Not applicable.

The aim of the course is to make the students acquitant with basics of topology and with topological methods frequently used in other mathematical disciplines and in computer science.

The attendance of lectures is not compulsory and, therefore, it will not be checked.

Not applicable.

Not applicable.

E. Čech, Topological spaces, in: Topological Papers of Eduard Čech, ch. 28, Academia, Prague, 1968, 436 - 472. (EN)
J.L.Kelly, General Topology, Springer-Verlag, 1975. (EN)
N. Bourbali, Elements of Mathematics - General Topology, Chap. 1-4, Springer-Verlag, Berlin, 1989. (EN)
N.M.Martin and S. Pollard,Closure Spacers and Logic, Kluwer Acad. Publ., Dordrecht, 1996. (EN)
R.W. Hall, G.T. Hermann, Y. Kong and R. Kopperman, Digital Topology (Theory and Applications), Springer, 2006 (EN)
S. Vickers, Topology Via Logic, Cambridge University Press, New York, 1989. (EN)

E. Čech, Topological spaces (Revised by Z. Frolík mand M. Katětov), Academia, Prague, 1966. (EN)
E. Čech, Topologické prostory, Nakladatelství ČSAV, Praha, 1959. (CS)
J. Adámek, V. Koubek a J. Reiterman, Základy obecné topologie, SNTL, Praha, 1977. (CS)
R. Engelking, General Topology,Panstwowe Wydawnictwo Naukowe, Warszawa, 1977. (EN)
T. Y. Kong and A. Rosenfeld, Digital topology: introduction and survey, Computer Vision, Graphics, and Image Processing 48(3), 1989, 357 - 393. Publisher Academic Press Professional, Inc. San Diego, CA, USA (EN)