Spacefilling knots.
Spaces and equations
It is proved, for various spaces A, such as a surface of genus 2, a figure-eight, or a sphere of dimension ≠ 1,3,7, and for any set Σ of equations, that Σ cannot be modeled by continuous operations on A unless Σ is undemanding (a form of triviality that is defined in the paper).
Spaces of approximate fibrations on Hilbert cube manifolds
Spaces of geometrically finite representations.
Spaces of measurable functions
For a metrizable space X and a finite measure space (Ω, , µ), the space M µ(X) of all equivalence classes (under the relation of equality almost everywhere mod µ) of -measurable functions from Ω to X, whose images are separable, equipped with the topology of convergence in measure, and some of its subspaces are studied. In particular, it is shown that M µ(X) is homeomorphic to a Hilbert space provided µ is (nonzero) nonatomic and X is completely metrizable and has more than one point.
Spaces of polynomials with roots of bounded multiplicity
We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.
Spaces of retractions which are homeomorphic to Hilbert space
Spaces of upper semicontinuous multi-valued functions on complete metric spaces
Let X = (X,d) be a metric space and let the product space X × ℝ be endowed with the metric ϱ ((x,t),(x’,t’)) = maxd(x,x’), |t - t’|. We denote by the space of bounded upper semicontinuous multi-valued functions φ : X → ℝ such that each φ(x) is a closed interval. We identify with its graph which is a closed subset of X × ℝ. The space admits the Hausdorff metric induced by ϱ. It is proved that if X = (X,d) is uniformly locally connected, non-compact and complete, then is homeomorphic to a...
Spaces whose only finite-sheeted covers are themselves. I.
Space-time distributions.
Span of the Jones polynomial of an alternating virtual link.
Spanning disks for domains with free fundamental groups
Spazi con operatori e applicazioni al problema di Knaster
Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.
Special Connections on Almost-Multifoliate Riemannian Manifolds.
Special connections on smooth 3-web manifolds
For a three-web of codimension on a differentiable manifold of dimension , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.
Special Embeddings of the Complete Graph.
Special positions for surfaces bounded by closed braids.
Special Representations for n-Bridge Links.
Specialization of MacPherson's Chern classes.