Theorems · Definition · general topology
OnePoint.continuousMapMkNat
{Y : Type u_3} →
[inst : TopologicalSpace Y] → (f : ℕ → Y) → (y : Y) → Filter.Tendsto f Filter.atTop (nhds y) → C(OnePoint ℕ, Y)A constructor for continuous maps out of the one point compactification of ℕ, given a
sequence and a limit value at infinity.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- ContinuousMapstatement · cited by 2,491
- Filter.atTopstatement and proof · cited by 2,405
- OnePointstatement · cited by 126
- OnePoint.continuousMapMkDiscreteproof · cited by 0
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