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Projects / Programmes source: ARRS

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
Evaluation (rules)
source: COBISS
Citations Citations for bibliographic records in COBIB.SI that are linked to records in citation databases
source: WoS source: Scopus source: COBISS
Researchers (10)
no. Code Name and surname Research area Role Period No. of publications
1.  03342  PhD Matija Cencelj  Natural sciences and mathematics  Researcher  1999 - 2001  217 
2.  05485  PhD Jože Malešič  Natural sciences and mathematics  Researcher  1999 - 2001  224 
3.  08947  PhD Nežka Mramor Kosta  Natural sciences and mathematics  Researcher  1998 - 2001  206 
4.  10768  PhD Petar Pavešić  Natural sciences and mathematics  Researcher  1999 - 2001  242 
5.  07083  PhD Dušan Repovš  Natural sciences and mathematics  Principal Researcher  1998 - 2001  1,521 
6.  08728  PhD Pavle Saksida  Natural sciences and mathematics  Researcher  1999 - 2001  86 
7.  13431  PhD Sašo Strle  Natural sciences and mathematics  Researcher  1998 - 2001  112 
8.  18839  PhD Aleš Vavpetič  Natural sciences and mathematics  Researcher  1999 - 2001  139 
9.  00724  PhD Jože Vrabec  Natural sciences and mathematics  Researcher  1998 - 2001  358 
10.  13651  PhD Matjaž Željko  Natural sciences and mathematics  Researcher  1999 - 2001  264 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  19,680 
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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