Generic Partial Two-Point Sets Are Extendable
Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 46-51
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It is shown that under $\text{ZFC}$ almost all planar compacta that meet every line in at most two points are subsets of sets that meet every line in exactly two points. This result was previously obtained by the author jointly with K. Kunen and J. vanMill under the assumption that Martin’s Axiom is valid.
Dijkstra, Jan J. Generic Partial Two-Point Sets Are Extendable. Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 46-51. doi: 10.4153/CMB-1999-005-1
@article{10_4153_CMB_1999_005_1,
author = {Dijkstra, Jan J.},
title = {Generic {Partial} {Two-Point} {Sets} {Are} {Extendable}},
journal = {Canadian mathematical bulletin},
pages = {46--51},
year = {1999},
volume = {42},
number = {1},
doi = {10.4153/CMB-1999-005-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-005-1/}
}
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