what is mean by topology?

Question

what are the uses in our daily life,

Answer 1

Topology is the study of geometrical objects wherein the relationships between geometrical features is important, but not the actual numbers defining those geometries, like distances and angles.



For example, in 2D topology all triangles are the same, they are more worried about how a triangle is different from a square and a circle.



In 3D, all cylinders are the same, an egg and a sphere are the same. The dimensions are not important. A cyclinder always has three surfaces, two of them do not have a common edge. A sphere or an egg has only one surface.



A famous topological problem is the problem of colouring a map. A country is defined by a boundary, and countries share common parts of boundaries. If you want to colour countries such that no two countries next to each other have the same colour, how many colours do you need?



if you think about it, the property of being 'next to each' other, which is a relational thing, is important, not the actual shape or length or size of the countries/border.



Another example is if you have a railway network, then finding shortest oaths between stations that are not directly connected is another problem. The connections are more important, not the geographical distances between stations.



A lot and a LOT of topology gets applied in computer science. The field of networks is a topological area, and the internet is one huge network. Another network is the banking systems, the stock exhanges. All problems of what is connected to what and how to let information flow in shortest times.



Sometimes road networks are also chosen based on simple topology concepts.



A map does not need more than 3 colours to make sure no two countries next to each other are coloured the same. A topological result.



A lot of robotics involves solving topological problems. Usually advanced stuff hits up against topology, so its in high-tech. but not always.

Answer 2

This is the detailed information and how it ring topology works? A ring network is a network topology in which each node connects to exactly two other nodes, forming a circular pathway for signals: a ring. Data travels from node to node, with each node handling every packet. Because a ring topology provides only one pathway between any two nodes, ring networks may be disrupted by the failure of a single link. A node failure or cable break might isolate every node attached to the ring. F.D.D.I networks overcome this vulnerability by sending data on a clockwise and a counterclockwise ring: in the event of a break data is wrapped back onto the complementary ring before it reaches the end of the cable, maintaining a path to every node along the resulting "C-Ring". 802.5 networks -- also known as IBM Token Ring networks -- avoid the weakness of a ring topology altogether: they actually use a star topology at the physical layer and a Multistation Access Unit to imitate a ring at the datalink layer.

Answer 3

Topology is the study of geometrical properties and spiral relations which remain unaffected by certain changes in shape or size of figures.Whole information you can take from Wikipedia.org/Topography.

Answer 4

try:

http://en.wikipedia.org/wiki/Topology