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My research interests are in Set Theoretic
Topology and Cryptology.
In particular, I am interested in Selection Principles, Dimension Theory, Game
Theory , Group based cryptosystems and their security.
Selected Publications:
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C. Guido, Lj.D.R.Kočinac and L. Babinkostova, On relative gamma sets,
East-West Journal of
Mathematics 2 (2000), 195 - 199
(pdf)
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Lj. D. R. Kočinac and L. Babinkostova, Function Spaces and
some relative covering properties, Far East Journal of Mathematics
and Science (Special Volume),
Part II (2000), 247 - 255 (pdf)
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L. Babinkostova, Selective versions of screenability,
Filomat 17:2, (2003), 127 - 134 (pdf)
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L. Babinkostova and M. Scheepers, Game on groups and
information security, Proceedings of the III International
Conference on Informatics and Information Technology (2003)
(pdf)
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L. Babinkostova, Relative Hurewicz
property and games, Mathematica Macedonica 1 (2003), 31 - 33
(pdf)
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L. Babinkostova, Lj. D. R. Kočinac
and M. Scheepers, Combinatorics of
open covers (VIII), Topology and its Applications 140/1
(2004), 15-32 (pdf)
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L. Babinkostova and M. Scheepers, An Infinite Game on
Groups, Real Analysis Exchange 29 (2) (2004), 1-15 (pdf)
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L. Babinkostova, Lj. D. R. Kočinac
and M. Scheepers, Notes on selection
principles in topology (I): Paracompactness, Journal of the Korean
Mathematical Society, 42 (2005), 709-721 (pdf)
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L. Babinkostova
and M. Scheepers, Combinatorics of
open covers (IX): Basis properties, Note di Matematica, 22, (2003),
167-178 (pdf)
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L. Babinkostova, Lj. D. R. Kočinac
and M. Scheepers, Combinatorics of open covers
(XI): Menger- and Rothberger-bounded groups, Topology and its
Applications, Volume 140, Issue 1, (2004), 15-32 (pdf)
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L. Babinkostova, Selective screenability game and
covering dimension, Topology Proceedings, 29(1), (2005), 13-17
(pdf)
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L. Babinkostova, Metrizable groups and strict o-boundedness
, Matematicki Vesnik, 58 (2006) 131-138 (pdf)
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L. Babinkostova, When does the Haver
property imply selective screenability, Topology and its
applications, Volume 154 Issue 9, (2007), 1971-1979 (pdf)
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L. Babinkostova and M. Scheepers, Products and
selection principles, Topology Proceedings, Volume 31 (2007)
1-13 (pdf)
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L. Babinkostova and M. Scheepers, Selection principles and countable dimension,
Note di Matematica, 27, (2007), 5-15 (pdf)
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L. Babinkostova, Selective screenability and the Hurewicz
property, Topology Proceedings 32 (2008), 245 - 252 (pdf)
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L. Babinkostova, Selective screenability in topological groups,
Topology and its Applications, 156/1 (2008), 2-9 (pdf)
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L. Babinkostova, On some questions about selective separability,
Mathematical Logic Quarterly 55:5 (2009), 539-541 (pdf)
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L. Babinkostova and M. Scheepers, Weakly infinite
dimensional subsets of R^N, Topology and its Applications 157:8
(2010), 1302-1313. (pdf)
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L. Babinkostova, Topological games and covering
dimension, Topology Proceedings, 38 (2011) pp. 99-120 (pdf)
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L. Babinkostova, Topological groups and covering dimension,
Topology and its Applications, 158: 12 (2011), 1460-1470
(pdf)
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