SUPERATOMIC BOOLEAN ALGEBRAS CONSTRUCTED FROM STRONGLY UNBOUNDED FUNCTIONS JUAN CARLOS MART´INEZ AND LAJOS SOUKUP Abstract. Using Koszmider’s strongly unbounded functions, we show the following consistency result: Sup

Source URL: www.math-inst.hu

• Large cardinals
• Cardinal number
• Constructible universe
• Tree
• Ordinal number
• Papyrus 1
• Boolean algebra
• Symbol
• Extendible cardinal
• Mathematical logic
• Mathematics
• Forcing

ELEMENTARY SUBMODELS IN INFINITE COMBINATORICS LAJOS SOUKUP Abstract. We show that usage of elementary submodels is a simple but powerful method to prove theorems, or to simplify proofs in infinite combinatorics. First w

Source URL: www.math-inst.hu

• Mathematical logic
• Cardinal number
• First-order logic
• Elementary equivalence
• Substructure
• Partition
• Symbol
• Absoluteness
• Structure
• Model theory
• Mathematics
• Logic

WIDE SCATTERED SPACES AND MORASSES LAJOS SOUKUP Abstract. We show that it is relatively consistent with ZFC that 2ω is arbitrarily large and every sequence s = hsα : α < ω2 i of infinite cardinals with sα ≤ 2ω is

Source URL: www.math-inst.hu

• Mathematics
• Forcing
• Support
• Operator theory
• Ordinary differential equations
• Spectral theory of ordinary differential equations
• Symbol
• Mathematical analysis
• Constructible universe
• Spectral theory

MORE ON CARDINAL INVARIANTS OF ANALYTIC P-IDEALS BARNABÁS FARKAS AND LAJOS SOUKUP ¯(I)) be minimum of Abstract. Given an ideal I on ω let a(I) (a the cardinalities of innite (uncountable) maximal I -almost disjoint s

Source URL: www.math-inst.hu

• Forcing
• Ordinal number

INFINITE COMBINATORICS: FROM FINITE TO INFINITE LAJOS SOUKUP Abstract. We investigate the relationship between some theorems in finite combinatorics and their infinite counterparts: given a “finite” result how one ca

Source URL: www.math-inst.hu

On splitting infinite-fold covers M´arton Elekes, Tam´as M´atrai, Lajos Soukup October 6, 2009 Abstract Let X be a set, κ be a cardinal number and let H be a family of subsets of X which covers each x ∈ X at least

Source URL: www.math-inst.hu

• Abstraction
• Mahlo cardinal
• Symbol
• Large cardinals
• Cardinal number
• Constructible universe

A FIRST COUNTABLE, INITIALLY ω1 -COMPACT BUT NON-COMPACT SPACE ´ JUHASZ, ´ ISTVAN PIOTR KOSZMIDER, AND LAJOS SOUKUP

Source URL: www.math-inst.hu

• Symbol
• Abstraction
• Ordinal numbers
• Set theory
• Proof theory

HELYI AUTÓBUSZ MENETREND HÉTFŐ-SZOMBAT Nagy Lajos király útja Vasútállomás -

Source URL: www.kunszentmarton.hu

Fodor-type Reflection Principle and reflection of metrizability and meta-Lindel¨ofness Saka´e Fuchino, Istv´an Juh´asz, Lajos Soukup, Zolt´an Szentmikl´ossy and Toshimichi Usuba Abstract

Source URL: www.math-inst.hu

• Topological spaces
• Ordinal numbers
• Cardinal number
• Metrization theorem
• Separable space
• Paracompact space
• First uncountable ordinal
• Weakly compact cardinal
• Topology
• General topology
• Large cardinals

INDESTRUCTIBLE COLOURINGS AND RAINBOW RAMSEY THEOREMS LAJOS SOUKUP   Abstract. We show that if a colouring c establishes ω2 6→ (ω1 : ω) 2

Source URL: www.math-inst.hu

• Forcing
• Ordinal number
• Constructible universe