Definability of small puncture sets

Andrés Eduardo Caicedo; John Daniel Clemens; Clinton Taylor Conley; Benjamin David Miller

doi:10.4064/fm215-1-2

Definability of small puncture sets

Andrés Eduardo Caicedo
, John Daniel Clemens
, Clinton Taylor Conley
, Benjamin David Miller

Mathematics Department

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We characterize the class of definable families of countable sets for which there is a single countable definable set intersecting every element of the family.

Original language	English
Pages (from-to)	39-51
Number of pages	13
Journal	Fundamenta Mathematicae
Volume	215
Issue number	1
DOIs	https://doi.org/10.4064/fm215-1-2
State	Published - 2011

Keywords

Definability
Dichotomy theorems
Puncture sets

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10.4064/fm215-1-2

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title = "Definability of small puncture sets",

abstract = "We characterize the class of definable families of countable sets for which there is a single countable definable set intersecting every element of the family.",

keywords = "Definability, Dichotomy theorems, Puncture sets",

author = "Caicedo, \{Andr{\'e}s Eduardo\} and Clemens, \{John Daniel\} and Conley, \{Clinton Taylor\} and Miller, \{Benjamin David\}",

year = "2011",

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language = "English",

volume = "215",

pages = "39--51",

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T1 - Definability of small puncture sets

AU - Caicedo, Andrés Eduardo

AU - Clemens, John Daniel

AU - Conley, Clinton Taylor

AU - Miller, Benjamin David

PY - 2011

Y1 - 2011

N2 - We characterize the class of definable families of countable sets for which there is a single countable definable set intersecting every element of the family.

AB - We characterize the class of definable families of countable sets for which there is a single countable definable set intersecting every element of the family.

KW - Definability

KW - Dichotomy theorems

KW - Puncture sets

UR - https://www.scopus.com/pages/publications/80155196735

U2 - 10.4064/fm215-1-2

DO - 10.4064/fm215-1-2

M3 - Article

AN - SCOPUS:80155196735

SN - 0016-2736

VL - 215

SP - 39

EP - 51

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 1

ER -

Definability of small puncture sets

Abstract

Keywords

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