We explore the existence of uniformly continuous sections for quotient maps. Using this approach we are able to give a number of new examples in the theory of the uniform structure of Banach spaces. We show for example that there are two non-isomorphic separable L1-subspaces of 1 which are uniformly homeomorphic. We also prove the existence of two coarsely homeomorphic Banach spaces (i.e. with ...

the performance of dual-layer multiple tuned mass dampers (dl-mtmd) with uniformly distributed natural frequencies is investigated. the dl-mtmd consists of one large tuned mass damper (l-tmd) and an arbitrary number of small tuned mass dampers (s-tmd). the primary structure is represented as a single degree-of-freedom system which corresponds to a specific vibration mode to be controlled in a r...

Let X be a Banach space, let φ denote the usual Kuratowski measure of noncompactness, and let kX (ε) = sup r (D) where r (D) is the Chebyshev radius of D and the supremum is taken over all closed convex subsets D of X for which diam (D) = 1 and φ (D) ≥ ε. The space X is said to have φ-uniform normal structure if kX (ε) < 1 for each ε ∈ (0, 1) . It is shown that this concept, which lies strictly...

Although intersection homology lacks a ring structure, certain expressions (called uniform) in the intersection homology of an irreducible projective variety X always give the same value, when computed via the decomposition theorem on any resolution Xr → X . This paper uses uniform (and non-uniform) expressions to define what is believed to be the usual intersection homology (and its local-glob...

partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...