PAPERS

Subspaces of pseudoradial spaces, Mathematica Slovaca 53 (2003), 505-514.
Abstract
maslo1.ps.zip
maslo1.pdf

On hereditary coreflective subcategories of Top, Applied Categorical Structures 12 (2004), 301-317.
Abstract
hered.ps.zip
hered.pdf
On hereditary coreflective subcategories of Top

I-continuity in topological spaces, Acta Mathematica, Faculty of Natural Sciences, Constantine the Philosopher Univesity Nitra, 6 (2003), 115-122.
nitra.ps.zip    nitra.dvi    nitra.pdf
Abstract

with P.Kostyrko, M.Mačaj and T.Šalát: I-convergence and extremal I-limit points, Mathematica Slovaca, 55(4) (2005), 443-464.
iconv.ps.zip    iconv.pdf
Abstract

with J.Činčura, T.Šalát and V.Toma: Sets of Statistical Cluster points and I-Cluster Points, Real Analysis Exchange, 30(2) (2004/2005), 565-580.
cluster3.ps
cluster3.pdf
Abstract

Hereditary, additive and divisible classes in epireflective subcategories of Top, Applied Categorical Structures 16 (2008), 451-478.
hrdepi.pdf
Abstract

with M. Ziman Levy group and density measures, Journal of Number Theory 128 (2008), 3005-3012.
levydens.pdf
Abstract

with M. Mačaj and V.Toma: On weighted uniform density, Uniform Distribution Theory 3(2) (2008), 101-127
WUD.pdf
Abstract
On weighted uniform density

with M. Ziman Range of density measures, Acta Mathematica Universitatis Ostraviensis 17 (2009), 33-50.
densmeas.pdf
Abstract

with M. Mačaj: I^K-convergence, Real Analysis Exchange, 36(1) (2010/2011), 177-194.
IKconv2.pdf
Abstract

with G. Grekos and J. Tomanová: Gaps and the exponent of convergence of an integer sequence, Uniform Distribution Theory 6(2) (2011), 117-130
expconvgst10.pdf
Abstract

with P. Das and V. Toma: I^K-Cauchy functions, Topology and its Applications, Volume 173, 15 August 2014, Pages 9–27, DOI: 10.1016/j.topol.2014.05.008
I-K_Cauchy.pdf
Abstract

PREPRINTS

THESIS

Bsc thesis (computer science): AKS-algoritmus (in Slovak)
aks.pdf aksslides.pdf aksobhajoba.ps

Diploma thesis: Hereditary coreflective subcategories of Top (in Slovak)
dipl.zipdipl.ps

RNDr thesis: Properties of hereditary coreflective hulls of coreflective subcategories of the category Top (in Slovak)
rigo.ziprigo.ps

PHD thesis: Heredity, hereditary corefletive hulls and other properties of coreflective subcategories of topological spaces
dizer2pdf_st.pdf (shorter version) dizer2pdf_lg.pdf (longer version)
[There are only a minor differences between the shorter and the longer version. The shorter version is the one, which I defended. In the longer version I've added a few notes, which I found useful -- but maybe the added material is too simple to be included into the official version.]
Defense (in Slovak): obhajoba.pdf dizslid.pdf

PRESENTATIONS

I-continuity in topological spaces-slides, Mathematical conference in Nitra
sld.zip

Subspaces of pseudoradial spaces - Category theory seminar in Brno
spsrad.ps.zip    spsrad.dvi    spsrad.pdf

I-convergence - Student Colloquium in Bremen
iconvtalk.pdf

Hereditary, additive and divisible classes in epireflective subcategories of Top - Toposym 2006 in Prague
slides.pdf    hrdtalk.ps

Levy group and density measures - Sequences 2007 in Malenovice
ldslides.pdf    ldtalk.pdf    ldslides_sk.pdf

Density measures - Séminaire ModMad in Saint-Etienne
dmslides.pdf    dmtalk.pdf   

PRESENTATIONS AND TALKS AT SEMINARS

Seminar on real functions
Topological seminar

THESIS SUPERVISED BY ME

Beáta Štupáková: Fibonacciho a Lucasove čísla, B.Sc. Thesis 2008
Michal Takács: Hadamardove matice, B.Sc. Thesis 2009
Jana Štolcová: Banachove limity M.Sc. Thesis 2011

sleziak_at_fmph.uniba.sk