topology — Mathlib

English

The topological space structure is defined by taking the neighborhood basis N_B on each point: topology(B) = TopologicalSpace.mkOfNhds(B.N).

Русский

Топологическая структура задаётся через базу окрестностей N_B: topology(B) = TopologicalSpace.mkOfNhds(B.N).

LaTeX

$$topology(B) := TopologicalSpace.mkOfNhds(B.N)$$

Lean4

/-- The topological space structure coming from a group filter basis. -/
@[to_additive /-- The topological space structure coming from an additive group filter basis. -/
    ]
def topology (B : GroupFilterBasis G) : TopologicalSpace G :=
  TopologicalSpace.mkOfNhds B.N

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