Project detail

Set-theoretical and categorial methods in topological and algebraic structures

Duration: 01.01.2003 — 31.12.2005

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder (2003-01-01 - 2005-12-31)

Mark

GA201/03/0933

Default language

Czech

People responsible

Kovár Martin, doc. RNDr., Ph.D. - fellow researcher
Pelant Jan, RNDr., Dr.Sc. - fellow researcher
Hušek Miroslav, prof. RNDr., Dr.Sc. - principal person responsible

Units

Department of Mathematics
- co-beneficiary (2003-01-01 - 2005-12-31)
Institute of Mathematics of the CAS, v. v. i.
- co-beneficiary (2003-01-01 - 2005-12-31)

Results

KOVÁR, M. The de Groot dual for general collections of sets. In Proceedings of the Dagstuhl Seminar 04351 - Spatial Representation: Discrete vs. Continuous Computational Models. Schloss Dagstuhl, Deutschland: IBFI Schloss Dagstuhl, 2004. p. 1 ( p.)
Detail

Kovár, M. Some Questions in Topology - The Topologists View at the Universe. 4. mezinárodní matematický workshop. Fakulta stavební Vysokého učení technického v Brně, 2005. p. 67 ( p.)ISBN: 80-214-2998-4.
Detail

KOVÁR, M. The Hofmann-Mislove Theorem for general topological structures. In Proceedings of the Dagstuhl Seminar 04351 - Spatial Representation: Discrete vs. Continuous Computational Models. Schloss Dagstuhl, Deutschland: IBFI Schloss Dagstuhl, 2004. p. 1 ( p.)
Detail

KOVÁR, M. On Maximality of Compact Topologies. In Proceedings of the Dagstuhl Seminar 04351 - Spatial Representation: Discrete vs. Continuous Computational Models. Schloss Dagstuhl, Deutschland: IBFI Schloss Dagstuhl, 2004. p. 1 ( p.)
Detail

KOVÁR, M. The de Groot dual for topological systems and locales. In 3. mezinárodní matematický workshop. Brno, Česká republika: Fakulta stavební Vysokého učení technického v Brně, 2004. p. 1 ( p.)ISBN: 80-214-2741-8.
Detail

KOVÁR, M. A note to the topology generated by Scott-open filters. In 3. mezinárodní matematický workshop. Brno, Česká republika: Fakulta stavební Vysokého učení technického v Brně, 2004. p. 1 ( p.)ISBN: 80-214-2741-8.
Detail

Caldas M., Jafari S., Kovár M. M. A note on $G_\delta$-sets and associated low separation axioms. In 4. mezinárodní matematický workshop. Brno: Fakulta stavební Vysokého učení technického v Brně, 2005. p. 1 ( p.)ISBN: 80-214-2998-4.
Detail

Kovár M. M. An Introduction to the Mutual Compactificability. In 4. mezinárodní matematický workshop. Brno: Fakulta stavební Vysokého učení technického v Brně, 2005. p. 1 ( p.)
Detail

ŠLAPAL, J. Relational Closure Operators. In Contributions to General Algebra 16. Klagenfurt: Verlag Johannes Heyn, 2005. p. 251 ( p.)ISBN: 3-7084-0163-8.
Detail

KOVÁR, M. At most 4 topologies can arise from iterating the de Groot dual. Topology and its Applications, 2003, vol. 2003, no. 130, p. 175-182. ISSN: 0166-8641.
Detail

KOVÁR, M., JAFARI, S., NOIRI, T. Properties of $\theta$s-US spaces. Acta Mathematica Hungarica, 2003, vol. 101, no. 1-2, p. 155-162. ISSN: 0236-5294.
Detail

ŠLAPAL, J. An alternative digital topology. Electronic Notes in Discrete Mathematics, 2003, vol. 12, no. 1, p. 1 ( p.)ISSN: 1571-0653.
Detail

Caldas M., Jafari S., Kovár M. M. Some properties of Theta-open Sets. Divulgaciones Matematicas, 2005, vol. 12, no. 2, p. 161-169. ISSN: 1315-2068.
Detail

ŠLAPAL, J. F-net convergence with respect to a closure operator. Applied Categorical Structures, 2005, vol. 13, no. 1, p. 49 ( p.)ISSN: 0927-2852.
Detail

Kovár M. M. Hofmann-Mislove Posets. Topology Proceedings, 2005, vol. 29, no. 2, p. 539-558. ISSN: 0146-4124.
Detail

KOVÁR, M. On Weak Reflections in Some Superclasses of Compact Spaces II. Topology and its Applications, 2004, vol. 1, no. 137, p. 195 ( p.)ISSN: 0166-8641.
Detail

KOVÁR, M. On iterated de Groot dualizations of topological spaces. Topology and its Applications, 2005, vol. 1, no. 146-7, p. 83 ( p.)ISSN: 0166-8641.
Detail

ŠLAPAL, J. A Galois correspondence for digital topology. In Galois Connections and Applications. Mathematics and Its Applications, vol. 565. Dordrecht: Kluwer, 2004. p. 413 ( p.)ISBN: 1-4020-1897-5.
Detail

KOVÁR, M. The Hofmann-Mislove Theorem for general posets. In Proceedings of the Dagstuhl Seminar 04351 - Spatial Representation: Discrete vs. Continuous Computational Models. Schloss Dagstuhl, Deutschland: IBFI Schloss Dagstuhl, 2004. p. 1 ( p.)
Detail