C-embedding and P-embedding in subspaces of products of ordinals

Nobuyuki Kemoto, Toshimichi Usuba

研究成果: Article査読

抄録

It is known that in X=A×B, where A and B are subspaces of ordinals, all closed C-embedded subspaces of X are P-embedded. Also it is asked whether all closed C-embedded subspaces of X are P-embedded whenever X is a subspace of products of two ordinals. In this paper, we prove that both of the following are consistent with ZFC: • there is a subspace X of (ω+1)×ω1 such that the closed subspace X∩({ω}×ω1) is C-embedded in X but not P-embedded in X, • for every subspace X of (ω+1)×ω1, if the closed subspace X∩({ω}×ω1) is C-embedded in X, then it is P-embedded in X.

本文言語English
論文番号108194
ジャーナルTopology and its Applications
318
DOI
出版ステータスPublished - 2022 8月 15

ASJC Scopus subject areas

  • 幾何学とトポロジー

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