Recent content by Nessy

On any given set X the discrete topology is the whole power set of X. How are topologies on X related to the power set of X? I hope you get it.

In mathematics, the direct sum of groups: \Pi_{i\in I} G_i is the set of all "sequences" (x_i)_{i\in I} such that x_i\in G_i for all i\in I. The direct sum \bigoplus_{i\in I}G_i is the subset of the direct product consisting of the sequences with all except finitely many terms equal to the...