6 citations · 10 across the 2 of their papers we have counts for
6 papers
The Katowice problem and autohomeomorphisms of
David Chodounsky, Alan Dow, Klaas Pieter Hart +1
We show that the existence of a homeomorphism between and entails the existence of a non-trivial autohomeomorphism of .
Lelek's problem is not a metric problem
Dana Bartosova, Logan Hoehn, Klaas Pieter Hart +1
We show that Lelek's problem on the chainability of continua with span zero is not a metric problem: from a non-metric counterexample one can construct a metric one.
Span, chainability and the continua H* and I_u
K. P. Hart, B. J. van der Steeg
We show that the continua I_u and H* are non-chainable and have span nonzero. Under CH this can be strengthened to surjective symmetric span nonzero. We discuss the logical consequ…
Embeddings into P(N)/fin and extension of automorphisms
A. Bella, A. Dow, K. P. Hart +3
Given a Boolean algebra B and an embedding e:B -> P(N)/fin we consider the possibility of extending each or some automorphism of B to the whole P(N)/fin. Among other things, we sho…
On the Maćkowiak-Tymchatyn theorem
K. P. Hart, B. J. van der Steeg
In this paper we give new proofs of the theorem of Maćkowiak and Tymchatyn that every metric continuum is a weakly-confluent image of some one-dimensional hereditarily indecomposab…
A small transitive family of continuous functions on the Cantor set
K. P. Hart, B. J. van der Steeg
In this paper we show that, when we iteratively add Sacks reals to a model of ZFC we have for every two reals in the extension a continuous function defined in the ground model tha…