The category TOP of topological spaces is not cartesian closed, but can be embedded into the cartesian closed category ASSM of assemblies over algebraic lattices, which is a generalisation of Scott's category EQU of equilogical spaces. In this paper, we identify cartesian closed subcategories of assemblies which correspond to well-known separation properties of topology: T 0 ,

A Cartesian network is a modified two-dimensional mesh network consisting of horizontal and vertical networks. At present, two 'traditional' protocols exist for the network: a unicast protocol, and a loop-free broadcast protocol. With the increasing number of multicast applications, there is a clear need for Cartesian Networks to support multicast communications. This paper presents three Carte...

A new kind of parallel mechanism machine called the CGT (Cartesian-Guided Tripod) for three-axis machining, CGP (Cartesian-Guided Pentapod) for five-axis machining, and CGH (Cartesian-Guided Hexapod) for six-axis positioning is presented on this paper. The CGT/CGP/CGH has two kinds of functional independent legs: the driving functional leg and the integrated Cartesian guiding/metrology function...