Wyniki wyszukiwania

1

Strongly almost disjoint familes, revisited

100%

Hajnal A., Juhász I., Shelah S.

Fundamenta Mathematicae

|

2000

|

tom 163

|

nr 1

13-23

EN

The relations M(κ,λ,μ) → B [resp. B(σ)] meaning that if $A⊂[κ]^λ$ with |A|=κ is μ-almost disjoint then A has property B [resp. has a σ-transversal] had been introduced and studied under GCH in [EH]. Our two main results here say the following: Assume GCH and let ϱ be any regular cardinal with a supercompact [resp. 2-huge] cardinal above ϱ. Then there is a ϱ-closed forcing P such that, in $V^P$, we have both GCH and $M(ϱ^{(+ϱ+1)},ϱ^+,ϱ) ↛ B$ [resp. $M(ϱ^{(+ϱ+1)},λ,ϱ) ↛ B(ϱ^+)$ for all $λ ≤ ϱ^{(+ϱ+1)}]$. These show that, consistently, the results of [EH] are sharp. The necessity of using large cardinals follows from the results of [Ko], [HJSh] and [BDJShSz].

2

On a classification of denumerable order types and an application to the partition calculus

99%

Erdös P., Hajnal A.

Fundamenta Mathematicae

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1962

|

tom 51

|

nr 2

117-129

3

A proof (involving Martin's axiom) of a partition relation

74%

Baumgartner J., Hajnal A.

Fundamenta Mathematicae

|

1973

|

tom 78

|

nr 3

193-203

4

On some combinatorial problems involving large cardinals

74%

Hajnal A.

Fundamenta Mathematicae

|

1970

|

tom 69

|

nr 1

39-53

5

On hereditarily α-Lindelöf and α-separable spaces, II

62%

Hajnal A., Juhász I.

Fundamenta Mathematicae

|

1973-1974

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tom 81

|

nr 2

147-158

6

Proof of a conjecture of B. Ruziewicz

62%

Hajnal A.

Fundamenta Mathematicae

|

1961-1962

|

tom 50

|

nr 2

123-128

7

Some remarks on set theory XI

50%

Erdös P., Hajnal A.

Fundamenta Mathematicae

|

1973-1974

|

tom 81

|

nr 3

261-265

8

Remarks on the theorem of W. P. Hanf

50%

Hajnal A.

Fundamenta Mathematicae

|

1964

|

tom 54

|

nr 1

109-113

Ograniczanie wyników

8 Fundamenta Mathematicae

8 Hajnal A.

2 Erdös P.

2 Juhász I.

1 Baumgartner J.

1 Shelah S.

1 2000

2 1974

1 1973

1 1970

1 1964

1 1962

1 1961

Strongly almost disjoint familes, revisited

On a classification of denumerable order types and an application to the partition calculus

A proof (involving Martin's axiom) of a partition relation

On some combinatorial problems involving large cardinals

On hereditarily α-Lindelöf and α-separable spaces, II

Proof of a conjecture of B. Ruziewicz

Some remarks on set theory XI

Remarks on the theorem of W. P. Hanf