Counterexample

Is this true?

A product of normal spaces is normal

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Property not inherited

A property assumed to pass to subobjects, quotients, or through a chain. It does not.

See real exam options built on this mistake Drill statements like this

topology separation

Go deeper· Explained in full in Separation axioms and what survives which construction· Asked in CSIR NET December 2025· From Topology › Continuity, homeomorphism, separation axioms

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