on R:The topology generated by it is known as lower limit topology on R. Example 4.3 : Note that B := fpg S ffp;qg: q2X;q6= pgis a basis. For example, EXAMPLES OF TOPOLOGICAL SPACES NEIL STRICKLAND This is a list of examples of topological spaces. Examples of a bus topology: An example of bus topology is connecting two floors through a single line. (Standard Topology of R) Let R be the set of all real numbers. Intervals that are open sets in $Y = (2,7]$ as a topological subspace of $\mathbb{R}$ with the standard topology. Very often I include new For example, a virtual network contains subnets. Given X = {1, 2, 3, 4} and the collection τ = P ( X) (the power set of X ), ( X, τ) is a topological space. View topology - Azure portal. The trivial topology is also called the anti-discrete, or coarse topology. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. It uses more cables than other topologies. In this topology, an end device connects directly to multiple end devices in the network. SNA is an example of de facto standard. Since each computer uses its own separate cable, a fault in cable does affect other computers of the network. Theorem 15.1. The total installation cost is higher than the other topologies. If $X=\mathbb R$, then the standard topology is the topology whose open sets are the unions of open intervals. Recall that the standard topology of R2 is given by the basis B:= f(a;b) (c;d) ˆR2 ja