Briefly explain the following; i) ii) ii) a. Topographical system Connected neighborhood Autonomous System
The term topography deals with the study of surface or a network analysis. The type of landscape of a certain space is studied under topography. Surfaces are analysed for their nature, if there is any elevation at some point on the surface or any discontinuity at some point on it or if the surface is having any cusps at some points, etc, all these come under topography.
So, the topographical system is the system which represents the nature of some topographical space or network under analysis. The 3 dimensional analysis of certain topological space comes under topographical system.
Connected neighborhood is a very essential property of the topology to decide if some topological space is connected or disconnected. To distinguish topological spaces into connected or disconnected, connected spaces or connected neighborhood is very important.
Neighborhood of a point in topological set is the set of points around the initial point within the topological space. This neighborhood is said to be connected when all subsets of points are connected within the topological set.
For certain topological space X, is said to have connected neighborhood only when every neighborhood of x contains a connected open neighborhood.
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