Set Theory and Topology Research Group at Budapest, Hungary
László Csirmaz
,
(csirmaz@renyi.hu)
Márton Elekes
,
(emarci@renyi.hu)
János Gerlits
,
(gerlits@renyi.hu )
András Hajnal
,
(ahajnal@renyi.hu )
István Juhász
,
(juhasz@renyi.hu )
Péter Komjáth,
(kope@cs.elte.hu )
Tamás Márai,
(matrait@)
Zsigmond Nagy
,
(zsiga@renyi.hu )
Gábor Sági
,
(sagi@renyi.hu )
Lajos Soukup
,
(soukup@renyi.hu )
Zoltán Szentmiklóssy ,
(zoli@renyi.hu )
Recent Prepints and Papers
L. Soukup:
Pcf theory and cardinal invariants of the reals
, submitted to CMUC
L. Soukup:
Elementary submodels in infinite combinatorics
, submitted to Disc. Math.
L. Soukup:
Wide scattered spaces and morasses
, submitted to Top. Appl.
Matrai T: Infinite dimensional perfect set theorems, Trans. Amer. Math. Soc.; submitted, 2010
Matrai T: More cofinal types of definable directed orders, Trans. Amer. Math. Soc.; submitted, 2010
Matrai T: On a new $\sigma$-ideal of compact sets, Top. Appl.; 157; no. 2, 1479--1484, 2010
J.C. Martinez, L. Soukup:
Cardinal sequences of LCS spaces under GCH
, Ann. Pure Appl. Logic 161, volume 161, 1180-1193, 2010
J.C. Martinez, L. Soukup:
Superatomic Boolean algebras constructed from strongly unbounded functions
, submitted toMath. Logic uaterly.
J.C. Martinez, L. Soukup:
Universal locally compact scattered spaces
, Topology Proc. 35, volume 35, 19-36, 2010
I. Juhász, W. Weiss:
On the convergence and character spectra of compact spaces
, Fund. Math., 207, pp. 179--196, 2010
A. Hajnal, I. Juhász, L. Soukup, Z. Szentmiklóssy:
Conflict free colorings of (strongly) almost disjoint set-systems
, to appear in Acta Math. Hung
S. Fuchino, I. Juhász, L. Soukup, Z. Szentmiklóssy, T. Usuba:
Fodor-type reflection principle,
, Top. Appl., 157 , no. 8, pp. 1415--1429, 2010
Erdos, Peter L., Stoyle, Jens, and Soukup, Lajos:
Balanced Vertices in Trees and a Simpler Algorithm to Compute the Genomic Distance
Appl. Math. Letters, to appear, 2010
P. L. Erdos, L. Soukup:
No finite-infinite antichain duality in the homomorphism poset D of directed graphs,
Order, 1-9, 2010
M. Dzamonja, I. Juhász, :
CH, a problem of Rolewicz, and bidiscrete systems,
, Top. Appl., megj. alatt, 2010
L. Soukup:
Indestructible colourings and rainbow Ramsey theorems
, Fund. Math. 202(2), volume 202, 161–180, 2009
Matrai T; Zeleny M;: On monotone presentations of Borel sets, Real Anal. Exchange; 34 no. 2, 311--318, 2009
Matrai T: \Pi^0_2-generated ideals are unwitnessable, Real Anal.\ Exchange; submitted, 2009
Matrai T: Kenilworth, Proc. Amer. Math. Soc.; 137, 1115-1125., 2009
J.C. Martinez, L. Soukup:
The D-property on unions of scattered spaces
, Top. Appl. 156(18), 3086-3090, 2009
I. Juhász, S. Shelah, L. Soukup:
Resolvability vs. almost resolvability
I. Juhász, P. Kosmider, L. Soukup:
A first countable, initially omega_1-compact but non-compact space
, Top. Appl., 156 , no. 10, 1863--1879., 2009
I. Juhász, Z. Szentmiklóssy:
Interpolation of kappa-compactness and PCF theory
CMUC, 50, 2 , 315--320, 2009
B. Farkas, L. Soukup:
More on cardinal invariants of analytic P-ideals,
, Comment. Math. Univ. Carolin. 50 (2), 281–295., 2009
P. L. Erdos, L. Soukup:
Quasi-kernels and quasi-sinks in infinite graph
Discrete Math.309(10), volume 309, 3040-3048, 2009
Elekes M; Mathe A: Can we assign the Borel hulls in a monotone way?, Fund. Math.; 205 no. 2, 105-115., 2009
Elekes M; Matrai T; Soukup L:
On splitting infinite-fold covers,
Fund. Math., to appear, 2009
Balka R; Elekes M;: The structure of continuous rigid functionof two variables, Real Anal. Exch. ; submitted, 2009
L. Soukup, :
Nagata's conjecture and countably compactifications in generic extensions
L. Soukup, :
Infinite Combinatorics: From Finite to Infinite,
Horizons of Combinatorics, Bolyai Society Mathematical Studies. vol 17,pp 189-213., 2008
I. Juhász, Z. Szentmiklóssy:
On d-separarability of powers and C_p(X),
Top. Appl.; 155 (2008), no. 4, 277--281., 2008
I. Juhász, Z. Szentmiklóssy:
A strengthening of the Cech - Pospisil theorem,
Top. Appl.; 155, 17-18. , 2102--2104., 2008
I. Juhász, Z. Szentmiklóssy:
Projective
pi
-character bounds the order of a
pi
-base,
I. Juhász, L. Soukup, Z. Szentmiklóssy:
Resolvability and monotone normality
I. Juhász, S. Shelah:
Hereditarily Lindelof spaces of singular density
, Studia Sci. Math. Hung.; 45, 4 , 557-562, 2008
I. Gorelic, I. Juhász,
AB-compacta,
Comm. Math Univ. Carol., 49, 1, 2008
Elekes M; Keleti T; Mathe A:
Self-similar and self-affine sets; measure of the intersection of two copies,
Advances in Math.; submitted, 2008
Balka R; Elekes M: The structure of rigid functions, J. Math. Anal. Appl.; 345 , no. 2, 880-888., 2008
Matrai; T: Covering $\Sigma^{0}_{\xi}$-generated ideals by $\Pi^{0}_{\xi}$ sets, Comm. Math. Univ. Carol. 48 , no. 2, 245-268., 2007
Matrai; T: Hurewicz test sets for generalized separation and reduction, Math. Proc. Cambridge Phil. Soc.; 143 , No. 2, 407-417, 2007
I. Juhász, J. E. Vaughan:
Countably compact hyperspaces and Frolik sums
, Top. Appl.; 154, 2434--2448, 2007
I. Juhász, L. Soukup, Z. Szentmiklóssy:
First countable spaces without point-countable
pi
-bases,
Elekes M; Laczkovich M: A cardinal number connected to the solvability of systems of difference equations in a given function class, J. Anal. Math.; 101, 199-218., 2007
D. Duffus, P. L. Erdos, J. Nesetril, J., L. Soukup :
Antichains in the homomorphism order of graphs
Comment. Math. Univ. Carolin. 48(4), volume 48, 571-583, 2007
Matrai; T: Topological aspects of Hurewicz tests for the difference hierarchy, Ukrainian Mathematical Bulletin; 3 , no. 4, 520-546., 2006
I. Juhász, W. Weiss:
Good, splendid, and Jakovlev
I. Juhász, Z. Szentmiklóssy, A. Szymanski:
Eberlein spaces of finite metrizability number
S. Fuchino, S. Geschke, L. Soukup, :
How to drive our family mad
I. Juhász, L. Soukup, Z. Szentmiklóssy:
Resolvability of spaces having small spread or extent
I. Juhász, L. Soukup, W. Weiss:
Cardinal sequences of length <omega
2
under GCH
P. L. Erdos, L. Soukup:
How to split antichains in infinite posets
I. Juhász, L. Soukup, Z. Szentmiklóssy:
D-forced spaces: a new approach to resolvability
I. Juhász and W. Weiss:
Cardinal sequences
L. Soukup:
A lifting theorem on forcing LCS spaces
I. Juhász and A. Szymanski:
The Topological Version of Fodor's Theorem
I. Juhász, S. Shelah, L. Soukup, Z. Szentmiklóssy:
Cardinal sequences and Cohen real extensions
J. Gerlits, I. Juhász, , L. Soukup, Z. Szentmiklóssy:
Characterizing continuity by preserving compactness and connectedness
I. Juhász, S. Shelah, L. Soukup, Z. Szentmiklóssy:
A tall space with a small bottom
I. Juhász, L. Soukup, Z. Szentmiklóssy:
A consistent example of a hereditarily
-Lindelöf first countable space of size
L. Soukup:
A piecewise Toronto space
L. Soukup:
Boolean algebras with prescribed topological densities
L. Soukup:
Indestructible properties of S- and L-spaces
S. Fuchino, S Geschke, S. Shelah, L. Soukup, :
On the weak Freese-Nation property of complete Boolean algebras
S. Fuchino, S Geschke, L. Soukup, :
On the weak Freese-Nation property of
.
J. Roitman, L. Soukup :
Luzin and anti-Luzin almost disjoint families
L. Soukup :
Smooth graphs
I. Juhász, S. Shelah:
On the cardinality and weight spectra of compact spaces, II
I. Juhász, L. Soukup, Z. Szentmiklóssy:
What is left of CH after you add Cohen reals?
S. Fuchino, S. Shelah, L. Soukup:
Sticks and clubs
S. Fuchino, L. Soukup:
More set-theory around the weak Freese-Nation property
A. Dow, I. Juhász, L. Soukup, Z. Szentmiklóssy:
More on sequentially compact implying pseudoradial
A. Dow, I. Juhász:
Are initially omega_1-compact separable regular spaces compact?
I. Juhász:
Cardinal Functions on Continuous Images
I. Juhász, L. Soukup, Z. Szentmiklóssy:
Combinatorial principles from adding Cohen reals
I. Juhász, L. Soukup,:
How to force a countably tight, initially omega_1-compact and non-compact space?
I. Juhász, L. Soukup, Z. Szentmiklóssy:
Forcing countable networks for spaces satisfying R(X^omega)=omega
I. Juhász, Zs. Nagy L. Soukup, Z. Szentmiklóssy:
Intersection properties of open sets, II.
J. Gerlits, Z. Szentmiklóssy:
On a Ramsey-type topological theorem
Archive of Publications
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