A countable dense homogeneous space with a dense rigid open subspace
We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.
Displaying 21 – 40 of 151
A criterion for homeomorphism between closed Haken manifolds.
Derbez, Pierre (2003)
Algebraic & Geometric Topology
A criterion for the noncellularity of arcs
Doyle, P.H. (1978)
Portugaliae mathematica
A decomposition into homeomorphic handlebodies with naturally equivalent involutions.
Nelson, Roger B. (1990)
International Journal of Mathematics and Mathematical Sciences
A decomposition theorem for h-cobordant smooth simply-connected compact 4-manifolds.
C.L. Curtis, M.H. Freedman, W. Hsiang (1996)
Inventiones mathematicae
A filtration of the set of integral homological 3-spheres.
Ohtsuki, Tomotada (1998)
Documenta Mathematica
A finite graphic calculus for 3-manifolds.
Riccardo Benedetti, Carlo Petronio (1995)
Manuscripta mathematica
A gauge-field approach to 3- and 4-manifold invariants
Bogusław Broda (1997)
Banach Center Publications
An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
A general approximation theorem for Hilbert cube manifolds
T. A. Chapman (1983)
Compositio Mathematica
A generalized bridge number for links in 3-manifolds.
H. Doll (1992)
Mathematische Annalen
A geometric invariant of discrete groups.
W.D. Neumann, R. Bieri, R. Strebel (1987)
Inventiones mathematicae
A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
Robert Bieri (1976)
Inventiones mathematicae
A Hilbert cube compactification of the space of retractions of the interval
Shigenori Uehara (1998)
Colloquium Mathematicae
A homological selection theorem implying a division theorem for Q-manifolds
Taras Banakh, Robert Cauty (2007)
Banach Center Publications
We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and afterward...
A homotopy theoretic characterization of the translation in
L. S. Husch (1972)
Compositio Mathematica
A lantern lemma.
Margalit, Dan (2002)
Algebraic & Geometric Topology
A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces
Radu Miculescu (2000)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
A locally connected non-movable continuum that fails to separate
D. McMillan (1977)
Fundamenta Mathematicae
A mapping theorem for infinite-dimensional manifolds and its generalizations
Katsuro Sakai (1988)
Colloquium Mathematicae
A mapping theorem for topological sigma-compact manifolds
Ricardo Berlanga (1987)
Compositio Mathematica