A Hilbert cube compactification of the space of retractions of the interval
A homological selection theorem implying a division theorem for Q-manifolds
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
A lantern lemma.
A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces
A locally connected non-movable continuum that fails to separate
A mapping theorem for infinite-dimensional manifolds and its generalizations
A mapping theorem for topological sigma-compact manifolds
A new geometric invariant associated to the space of flat connections
A new invariant on hyperbolic Dehn surgery space.
A new technique for the link slice problem.
A noncompact -cobordism theorem
A non-𝒵-compactifiable polyhedron whose product with the Hilbert cube is 𝒵-compactifiable
We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
A non-extended hermitian form over Z [Z].
A Note on 2-fold Branched Covering Spaces of S3.
A note on a 3-dimensional homogeneous space
A Note on a Heegaard Diagram of S3.
A note on closed -cells in
A note on irreducible Heegaard diagrams.
A note on linear mappings between function spaces
Arhangel’skiǐ proved that if and are completely regular spaces such that and are linearly homeomorphic, then is pseudocompact if and only if is pseudocompact. In addition he proved the same result for compactness, -compactness and realcompactness. In this paper we prove that if is a continuous linear surjection, then is pseudocompact provided is and if is a continuous linear injection, then is pseudocompact provided is. We also give examples that both statements do not hold...