Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, and especially general topology, the prime integer topology and the relatively prime integer topology are examples of topologies on the set of positive whole numbers, i.e. the set Z+ = {1, 2, 3, 4, …}. To give the set Z+ a topology means to say which subsets of Z+ are "open", and to do so in a way that the following axioms are met: 1. The union of open sets is an open set. 2. The finite intersection of open sets is an open set. 3. Z+ and the empty set are open sets. In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them. It is distinct from other branches of topology in that the topological spaces may be very general, and do not have to be at all similar to manifolds.

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