Wyniki wyszukiwania

1

Countable partitions of the sets of points and lines

100%

Schmerl J. H.

Fundamenta Mathematicae

|

1999

|

tom 160

|

nr 2

183-196

EN

The following theorem is proved, answering a question raised by Davies in 1963. If $L_0 ∪ L_1 ∪ L_2 ∪...$ is a partition of the set of lines of $ℝ^n$, then there is a partition $ℝ^n = S_0 ∪ S_1 ∪ S_2 ∪...$ such that $|ℓ ∩ S_i| ≤ 2$ whenever $ℓ ∈ L_i$. There are generalizations to some other, higher-dimensional subspaces, improving recent results of Erdős, Jackson & Mauldin.

2

On regular interstices and selective types in countable arithmetically saturated models of Peano Arithmetic

51%

Bigorajska T., Kotlarski H., Schmerl J. H.

Fundamenta Mathematicae

|

1998

|

tom 158

|

nr 2

125-146

EN

We continue the earlier research of [1]. In particular, we work out a class of regular interstices and show that selective types are realized in regular interstices. We also show that, contrary to the situation above definable elements, the stabilizer of an element inside M(0) whose type is selective need not be maximal.

3

A decidable $ℵ_0$-categorical theory with a non-recursive Ryll-Nardzewski function

50%

Schmerl J. H.

Fundamenta Mathematicae

|

1978

|

tom 98

|

nr 2

121-125

4

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The decidability of some $ℵ_0$-categorical theories

44%

Schmerl J. H.

Colloquium Mathematicum

|

1976

|

tom 36

|

nr 2

165-169

5

On $ℵ_0$-categoricity and the theory of trees

38%

Schmerl J. H.

Fundamenta Mathematicae

|

1977

|

tom 94

|

nr 2

121-128

Ograniczanie wyników

4 Fundamenta Mathematicae

1 Colloquium Mathematicum

5 Schmerl J. H.

1 Bigorajska T.

1 Kotlarski H.

1 1999

1 1998

1 1978

1 1977

1 1976

Countable partitions of the sets of points and lines

On regular interstices and selective types in countable arithmetically saturated models of Peano Arithmetic

A decidable $ℵ_0$-categorical theory with a non-recursive Ryll-Nardzewski function

The decidability of some $ℵ_0$-categorical theories

On $ℵ_0$-categoricity and the theory of trees