A small transitive family of continuous functions on the Cantor set

DOI10.1016/S0166-8641(01)00207-3zbMath1013.03058arXivmath/0004024MaRDI QIDQ1862020

Klaas Pieter Hart, B. J. van der Steeg

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004024

zbMATH Keywords

Cantor setSacks model

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (2)

On $\mathbb R$-embeddability of almost disjoint families and Akemann–Doner C$^*$-algebras ⋮ CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS

Cites Work

• Sacks forcing and the total failure of Martin's axiom
• Mapping a set of reals onto the reals
• Iterated perfect-set forcing
• Continua which admit only the identity mapping onto non-degenerate subcontinua
• Notion d'homogénéité et prolongements des homéomorphies
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