Convergence of sequences and nets in a special topological space

Convergence concept is one of the most important concepts of topology. In this thesis, firstly classic meaning of convergence concept is investigated and is tried to discuss this mean. The relation between accumulation point and limit is stated clearly. Here is given the proof of theorem, known as if a sequence has a limit then it's unique, is valid only in T2 ? space. A sequence can have infinitely many limits in different topological spaces. Especially, the problem of convergence of sequence in bitopological spaces is explained. Convergence of sequences is discussed in the case of topological structures, which build the bitopological space, is comparable, the conditions that appeared are explained. Keywords : Convergence, Sequences, Bitopological Spaces