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Let M be either a topological manifold, a Hilbert cube manifold, or a Menger manifold and let D be an arbitrary countable dense subset of M . Consider the topological group H(M,D) which consists ofâ€¦ (More)

Using the theory of plugs and the self-insertion construction due to the second author, we prove that a foliation of any codimension of any manifold can be modified in a real analytic orâ€¦ (More)

- Bernulf WeiÃŸbach, Greg Kuperberg, Krystyna Kuperberg
- 2004

We show that a honeycomb circle packing in R with a linear gap defect cannot be completely saturated, no matter how narrow the gap is. The result is motivated by an open problem of G. Fejes TÃ³th, G.â€¦ (More)

The pseudo-circle is known to be nonhomogeneous. The original proofs of this fact were discovered independently by L. Fearnley [6] and J.T. Rogers, Jr. [17]. The purpose of this paper is to provideâ€¦ (More)

- VIKTOR L. GINZBURG, Krystyna Kuperberg, +4 authors Maria E. Schonbek
- 1997

We construct a proper C-smooth function on R such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewed as a C-smooth counterexample to theâ€¦ (More)

If C is a Jordan curve on the plane and P, Q âˆˆ C, then the segment PQ is called a chord of the curve C. A point inside the curve is called equichordal if every two chords through this point have theâ€¦ (More)

It is shown that for every triple of integers (Î±, Î², Î³) such that Î± â‰¥ 1, Î² â‰¥ 1, and Î³ â‰¥ 2, there is a homogeneous, non-bihomogeneous continuum whose every point has a neighborhood homeomorphic theâ€¦ (More)

- J. P. Boronski, Krystyna Kuperberg, Fidele Fouogang Ngwane, Santino Spadaro, Frank J. Sturm, Kang Jin
- 2010

Topological dynamics on surfaces is studied. The primary objects of study are orientation reversing homeomorphisms of the plane, but most of the results apply also to the orientation reversingâ€¦ (More)

The author constructs a locally connected, homogeneous, finitedimensional, compact, metric space which is not bihomogeneous, thus providing a compact counterexample to a problem posed by B. Knasterâ€¦ (More)

- AS ORBITS, R. Ghrist, Krystyna Kuperberg
- 1995

We construct counterexamples to some conjectures of J. Birman and R. F. Williams concerning the knotting and linking of closed orbits of ows on 3-manifolds. By establishing the existence ofâ€¦ (More)