N-topological space

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In mathematics, an N-topological space is a set equipped with N arbitrary topologies. If τ₁, τ₂, ..., τ_N are N topologies defined on a nonempty set X, then the N-topological space is denoted by (X,τ₁,τ₂,...,τ_N). For N = 1, the structure is simply a topological space. For N = 2, the structure becomes a bitopological space introduced by J. C. Kelly.^[1]