Topology is the study of connectivity and continuity within objects and shapes. It comes from the Greek word "Study" is an area of mathematics involving objects that do not break or tear when under major stretching. Earliest recordings of this term go back as far as 1736 and towards the end of the 19th century was refered to as the "geometry of space". This later recieved the name topology.
The term I found quite hard to understand but I'll give it a try.
Say X was a set and say t was a subset family of X. This would make t a topology on X if any of three things were met:
- Both X and the empty set are elements of t
- Elements of t can be any union of elements
- An intersection of many elements of t is an element of t itself
If there is a t on topology X then the pair are refered to as a topological space.
Some faces using topology
Aaaaaaaand now my friend with topology applied
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