TL;DRAbstract
In this chapter we show that, under some assumptions on the topological space X, Γ-limits and K-limits can be expressed in terms of convergent sequences in X. We consider first the case of a space X satisfying the first axiom of countability. Then we extend these results to the case of the weak topology of a reflexive Banach space.
Chat with Paper
AI Agents for this Paper
In this chapter we show that, under some assumptions on the topological space X, Γ-limits and K-limits can be expressed in terms of convergent sequences in X. We consider first the case of a space X satisfying the first axiom of countability. Then we extend these results to the case of the weak topology of a reflexive Banach space.
Keywords
AxiomCharacterization (materials science)MathematicsBanach spaceCountable setSpace (punctuation)Topological spaceTopology (electrical circuits)
Chat
Click to start Chat