Projects / Programmes source: ARIS

Teorija dimenzij in geometrijska topologija (Slovene)

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Research activity

Code Science Field Subfield
1.01.02  Natural sciences and mathematics  Mathematics  Topology 

Code Science Field
P150  Natural sciences and mathematics  Geometry, algebraic topology 
Keywords
cohomological dimension, compact metric space, perfect group, cell-like map, general position
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Organisations (1) , Researchers (10)
0101  Institute of Mathematics, Physics and Mechanics
no. Code Name and surname Research area Role Period No. of publications
1.  03342  PhD Matija Cencelj  Mathematics  Researcher  1999 - 2001  223 
2.  05485  PhD Jože Malešič  Mathematics  Researcher  1999 - 2001  224 
3.  08947  PhD Nežka Mramor Kosta  Mathematics  Researcher  1998 - 2001  209 
4.  10768  PhD Petar Pavešić  Mathematics  Researcher  1999 - 2001  264 
5.  07083  PhD Dušan Repovš  Mathematics  Head  1998 - 2001  1,549 
6.  08728  PhD Pavle Saksida  Mathematics  Researcher  1999 - 2001  92 
7.  13431  PhD Sašo Strle  Mathematics  Researcher  1998 - 2001  124 
8.  18839  PhD Aleš Vavpetič  Mathematics  Researcher  1999 - 2001  160 
9.  00724  PhD Jože Vrabec  Mathematics  Researcher  1998 - 2001  358 
10.  13651  PhD Matjaž Željko  Mathematics  Researcher  1999 - 2001  266 
Abstract
The subject of the investigation will be some of the most interesting unsolved problems of modern dimension theory and geometric topology. We shall study the theory of general position for continuous maps of compact metric spaces into Euclidean spaces and related to this, the classical conjecture of Chogoshvili from the 1930''s. In addition, we shall consider compacta of cohomological dimension one over nonabelian groups and related to this, the celebrated unsolved problem on raising dimension for cell-like maps on 4-dimensional topological manifolds.
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