liu.seSearch for publications in DiVA
Change search
Link to record
Permanent link

Direct link
BETA
Aigner, Mats
Publications (3 of 3) Show all publications
Aigner, M., Tjatyrko, V. & Nyagahakwa, V. (2015). THE ALGEBRA OF SEMIGROUPS OF SETS. Mathematica Scandinavica, 116(2), 161-170
Open this publication in new window or tab >>THE ALGEBRA OF SEMIGROUPS OF SETS
2015 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 116, no 2, p. 161-170Article in journal (Refereed) Published
Abstract [en]

We study the algebra of semigroups of sets (i.e. families of sets closed under finite unions) and its applications. For each n greater than 1 we produce two finite nested families of pairwise different semigroups of sets consisting of subsets of R" without the Baire property.

Place, publisher, year, edition, pages
MATEMATISK INST, 2015
National Category
Algebra and Logic
Identifiers
urn:nbn:se:liu:diva-120758 (URN)000358751500001 ()
Available from: 2015-08-24 Created: 2015-08-24 Last updated: 2017-12-04
Aigner, M., Tjatyrko, V. & Nyagahakwa, V. (2013). ON COUNTABLE FAMILIES OF SETS WITHOUT THE BAIRE PROPERTY. Colloquium Mathematicum, 133(2), 179-187
Open this publication in new window or tab >>ON COUNTABLE FAMILIES OF SETS WITHOUT THE BAIRE PROPERTY
2013 (English)In: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 133, no 2, p. 179-187Article in journal (Refereed) Published
Abstract [en]

We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (R-n , tau), where n is an integer greater than= 1 and tau is any admissible extension of the Euclidean topology of R-n (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family F of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of F does not have the Baire property in X.

Place, publisher, year, edition, pages
Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2013
Keywords
Vitali set; Baire property; admissible extension of a topology
National Category
Natural Sciences
Identifiers
urn:nbn:se:liu:diva-103315 (URN)10.4064/cm133-2-4 (DOI)000328741300004 ()
Available from: 2014-01-16 Created: 2014-01-16 Last updated: 2018-10-23
Aigner, M. (2001). Existence of the Ginzburg-Landau vortex number. Communications in Mathematical Physics, 216(1), 17-22
Open this publication in new window or tab >>Existence of the Ginzburg-Landau vortex number
2001 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 216, no 1, p. 17-22Article in journal (Refereed) Published
Abstract [en]

The existence of the Ginzburg-Landau vortex number is established for any configuration with finite action. As a consequence, Bogomol'nyi's formula for the critical action is valid for any finite action configuration.

National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-47215 (URN)10.1007/s002200000319 (DOI)
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13
Organisations

Search in DiVA

Show all publications