We denote by σ(F,E) the topology on F generated by the family {ω(x, ε) : x ∈ E, ε > 0} as a subbase for the neighbourhood system at 0. It is easy to show that, if F possesses the σ(F,E)-topology, F becomes a locally convex topological vector space. The σ(E,F )-topology on E is defined analogously. A subset X of E is said to be σ(E,F )-compact if X is compact related to the σ(E,F )-topology. Let...

We present a novel framework to exert a topology control over a level set evolution. Level set methods offer several advantages over parametric active contours, in particular automated topological changes. In some applications, where some a priori knowledge of the target topology is available, topological changes may not be desirable. A method, based on the concept of simple point borrowed from...

We study and compare the gap and the Riesz topologies of the space of all unbounded regular operators on Hilbert C*-modules. We show that the space of all bounded adjointable operators on Hilbert C*-modules is an open dense subset of the space of all unbounded regular operators with respect to the gap topology. The restriction of the gap topology on the space of all bounded adjointable operator...

The eÆcient implementation of collective communication operations has received much attention. Initial e orts modeled network communication and produced \optimal" trees based on those models. However, the models used by these initial e orts assumed equal point-to-point latencies between any two processes. This assumption is violated in heterogeneous systems such as clusters of SMPs and wide-are...

We present a novel framework to exert a topology control over a level set evolution. Level set methods offer several advantages over parametric active contours, in particular automated topological changes. In some applications, where some a priori knowledge of the target topology is available, topological changes may not be desirable. A method, based on the concept of simple point borrowed from...

Stochastic analysis of random heterogeneous media provides information of significance only if realistic input models of the topology and material property variations are used. This work introduces a framework to construct such input stochastic models for the topology, thermal diffusivity and permeability variations in heterogeneous media using a data-driven strategy. Given a set of microstruct...

One of the greatest problems inhibiting the spread of hypertext is the cognitive overload on authors. In addition to authoring the content of each node, an author is responsible for creating information links and link anchors while also having to maintain an overall balanced hypertext document. Our work has addressed this aspect of the authoring problem by offering an author a menu of potential...

The relationships among autonomous systems (ASes) can be categorized into three types: 1) transit, 2) peering and 3) sibling. Since customer ASes purchase the Internet access from provider ASes over transit links and any two ASes can exchange their traffic without any payment over peering links, transit links cost more than peering links from the economical point of view. We propose an inter-AS...

Strained polycyclic oxetanes generated photochemically from the Diels-Alder adducts of cyclic dienes and enones undergo deep skeletal rearrangements under protolytic ring-opening conditions offering expeditious access to chlorohydrins and other products of unique skeletal topology.