Ivan Shishkin, Rye (1878)

Problems/TopologyUnreviewed

Une partie compacte

by FiniteField·
40
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Soit (X,T)(X,\mathcal{T}) un espace topologique séparé et (un)∈XN(u_{n})\in X^{\mathbb{N}} une suite convergeant vers ℓ∈X.\ell\in X. Montrer que
{ un∣n∈N }∪{ ℓ }\set{u_{n}\mid n\in\mathbb{N}}\cup\set{\ell}est compacte.

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