On discrete subspaces of product spaces

On quasi-complemented subspaces of banach spaces.

ON k-SUBSPACES OF L -VECTOR-SPACES

Let k ⊆ L be division rings, with [L : k ]right < ∞, and let Bk ⊆ AL be right vector spaces. Conditions are established in terms of the k-codimension of B in A, respectively the k-dimension of B, for there to exist a nonzero element a ∈A such that aL ∩ B = {0}, respectively an L-linear functional f on A such that f (B) = L . Some consequences and related open questions are discussed. Suppose k ...

Subspaces of Knot Spaces

The inclusion of the space of all knots of a prescribed writhe in a particular isotopy class into the space of all knots in that isotopy class is a weak homotopy equivalence.

Subspaces of pseudoradial spaces

We prove that every topological space (T0-space, T1-space) can be embedded in a pseudoradial space (in a pseudoradial T0-space, T1-space). This answers the Problem 3 in [2]. We describe the smallest coreflective subcategory A of Top such that the hereditary coreflective hull of A is the whole category Top.

ε-weakly Chebyshev subspaces and quotient spaces