The bookUnit 2 · Topology50 / 83

Continuity, homeomorphism, separation axioms

Why this is asked: Know the implication chain T₄ ⇒ T₃ ⇒ T₂ ⇒ T₁ ⇒ T₀ (with the regularity/normality convention) and which properties are hereditary or productive.

Separation axioms and what survives which construction

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The separation axioms, in the order they matterinteractive

T₁ versus T₂ decided by one example, and the finite-space collapse that is a favourite question.

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Open this in the full syllabus view · Unit 2