A boundary set for the Hilbert cube containing no arcs
A branch set linking theorem.
A Canonical Form for Compact Nonpositively Curved Manifolds Whose Fundamental Groups Have Nontrivial Center.
A characterization of a class of semigroups.
A characterization of cubes and spheres [Book]
A Characterization of the Sphere and Euclidean Space by Transformation Groups.
A class of 4-pseudomanifolds similar to the lense spaces.
A class α and locally connected continua which can be ε-mapped onto a surface
A cohomology for foliated manifolds.
A combinatorial characterization of 4-dimensional handlebodies.
A combinatorial characterization of planar 2-complexes
A complete description of normal surfaces for infinite series of 3-manifolds.
A conjecture on Khovanov's invariants
We formulate a conjectural formula for Khovanov's invariants of alternating knots in terms of the Jones polynomial and the signature of the knot.
A construction of a CW-decomposition of s-cubes which are manifolds
A construction of noncontractible simply connected cell-like two-dimensional Peano continua
Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the circle 𝕊¹,...
A contribution to the topological classification of the spaces Ср(X)
We prove that for each countably infinite, regular space X such that is a -space, the topology of is determined by the class of spaces embeddable onto closed subsets of . We show that , whenever Borel, is of an exact multiplicative class; it is homeomorphic to the absorbing set for the multiplicative Borel class if . For each ordinal α ≥ 2, we provide an example such that is homeomorphic to .
A correction of two papers concerning Hilbert manifolds
A correction to a paper of H. King.
A correction to my paper:"Some topological extensions of plane geometry"
A corrigendum to the paper “Connecting direct limit topologies with metrics on infinite-dimensional manifolds”