"This is space age domination technology," wrote another.
In this paper, we study the network of global interconnections between language communities, based on shared co-editing interests of Wikipedia editors, and show that although English is discussed as a potential lingua franca of the digital space, its domination disappears in the network of co-editing similarities, and instead local connections come to the forefront.
Since compact ANRs are dominated by finite polyhedra and since the enlargement of classes of topological spaces by domination of domain preserves approachability (see Proposition 3.17 in [5]), it follows that the restriction (Phi|_{C}) of Φ to C is also approachable.
On the basis of these notions we can also consider a certain kind of domination of space, i.e., a space Y dominates a space X in a multi-valued sense (see, [4]) if there exists a continuous mapping f :Y → X and a multi-valued admissible mapping φ : X ⊸ Y such that for every x ∈ X f(φ(x)) = {x}.
On the basis of these notions (multi-retracts) we can consider a certain domination of space, i.e., a space Y dominates an X space (in the sense of Suszycki) if there exist a multi-valued u.s.c.s.c
In 1967, Borsuk (see, [1]) introduced the notion of the domination of space in the class of metric spaces, i.e., a metric space Y dominates a metric space X (we write Y ≥ X) if there are continuous maps f :Y → X, g : X → Y such that for every x ∈ X f(g(x)) = x.
He has proven that the domination of space retains the fixed point property, i.e., if Y dominates the space of X and if Y is a Lefschetz space, then X is also a Lefschetz space.
It doesn't involve domination and space aliens but does involve immigrants and adaptation.
The new cuts, they say, will drive young people from the field, ending American domination of space science and perhaps ceding future discoveries to Europe.
John Carmack, head of Armadillo Aerospace who made his fortune developing "Doom" and "Quake", two hugely successful video-game franchises argues that government domination of space has made the industry's established firms too risk-averse, with little appetite for innovation.
