What are the morphisms in the category of topological spaces?

Conditions

• The context is the category of topological spaces.

Reasoning, step by step

1. Identify the category: topological spaces.
2. Recall the definition of morphisms in this specific category.
3. State that morphisms are continuous functions between the spaces.

Example

The speaker states: 'Relationships in a category are called morphisms, and specifically in the category of topological spaces, they are continuous functions between the objects which are topological spaces.'

Common misconceptions

• Assuming morphisms are always algebraic homomorphisms.
• Thinking morphisms are arbitrary set-theoretic functions without continuity requirements.

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