Course detail

Applied Topology

FSI-9APT-AAcad. year: 2019/2020

Not applicable.

Language of instruction

English

Number of ECTS credits

2

Guarantor

prof. RNDr. Josef Šlapal, CSc.

Department

Institute of Mathematics (ÚM)

Offered to foreign students

The home faculty only

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Not applicable.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

E. Čech, Topological spaces (Revised by Z. Frolík mand M. Katětov), Academia, Prague, 1966.
E. Čech, Topological spaces, in: Topological Papers of Eduard Čech, ch. 28, Academia, Prague, 1968, 436 - 472.
R. Engelking, General Topology,Panstwowe Wydawnictwo Naukowe, Warszawa, 1977.
N. Bourbali, Elements of Mathematics - General Topology, Chap. 1-4, Springer-Verlag, Berlin, 1989.
J.L.Kelly, General Topology, Springer-Verlag, 1975.
N.M.Martin and S. Pollard,Closure Spacers and Logic, Kluwer Acad. Publ., Dordrecht, 1996.
S. Vickers, Topology Via Logic, Cambridge University Press, New York, 1989.
R.W. Hall, G.T. Hermann, Y. Kong and R. Kopperman, Digital Topology (Theory and Applications), Springer, 2006

Recommended reading

J. Adámek, V. Koubek a J. Reiterman, Základy obecné topologie, SNTL, Praha, 1977.
E. Čech, Topologické prostory, Nakladatelství ČSAV, Praha, 1959.
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