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Projects / Programmes source: ARIS

Geometric and algebraic topology

Research activity

Code Science Field Subfield
1.01.00  Natural sciences and mathematics  Mathematics   

Code Science Field
P150  Natural sciences and mathematics  Geometry, algebraic topology 
Keywords
geometric topology, algebraic topology, topological manifold, piecewise-linear manifold, smooth manifold, Lie group, homotopy equivalence, CW complex.
Evaluation (rules)
source: COBISS
Researchers (18)
no. Code Name and surname Research area Role Period No. of publicationsNo. of publications
1.  03342  PhD Matija Cencelj  Mathematics  Researcher  2004 - 2007  220 
2.  25594  PhD Gregor Jerše  Mathematics  Junior researcher  2005 - 2007  27 
3.  24019  Metka Kenda    Technical associate  2004 - 2006 
4.  05485  PhD Jože Malešič  Mathematics  Researcher  2004 - 2007  224 
5.  14063  PhD Leila Marek Crnjac  Interdisciplinary research  Researcher  2006 - 2007  93 
6.  19420  PhD Aleksandar Mijatović  Mathematics  Researcher  2004 - 2007  28 
7.  08947  PhD Nežka Mramor Kosta  Mathematics  Researcher  2004 - 2007  206 
8.  04588  PhD Dušan Pagon  Mathematics  Researcher  2006 - 2007  302 
9.  10768  PhD Petar Pavešić  Mathematics  Researcher  2004 - 2007  247 
10.  00725  PhD Peter Petek  Mathematics  Researcher  2004 - 2007  312 
11.  07083  PhD Dušan Repovš  Mathematics  Head  2004 - 2007  1,534 
12.  21969  PhD Jaka Smrekar  Mathematics  Researcher  2004 - 2007  129 
13.  13431  PhD Sašo Strle  Mathematics  Researcher  2004 - 2007  116 
14.  04640  PhD Marjeta Škapin Rugelj  Mathematics  Researcher  2006 - 2007  70 
15.  18839  PhD Aleš Vavpetič  Mathematics  Researcher  2004 - 2007  146 
16.  26522  PhD Žiga Virk  Mathematics  Junior researcher  2006 - 2007  157 
17.  00724  PhD Jože Vrabec  Mathematics  Researcher  2004 - 2005  358 
18.  13651  PhD Matjaž Željko  Mathematics  Researcher  2004 - 2007  265 
Organisations (1)
no. Code Research organisation City Registration number No. of publicationsNo. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  19,643 
Abstract
A three year project of fundamental research in mathematics is proposed, its main aim being the investigation of the following important unsolved problems of geometric and algebraic topology. Non-standard embeddings of Cantor sets in Euclidean spaces, knot and link theory, geometric properties of continua, Seiberg-Witten invariants, PL topology of manifolds of low dimension, cohomological dimension theory, homotopy autoequivalences, Lie groups etc. Publication of our results in leading mathematical journals is planned. In addition a book about cell-like maps and homology manifolds is expected to be published by a renowned international publisher. The proposed project is related to our bilateral projects, ie the Slovenian-Japanese, Slovenian-US, Slovenian-Polish, Slovenian-Italian, and both Slovenian-Russian projects which are currently run by our research group. Also this project will enable the education of young researchers.
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