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Jun, 2019
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Maps

Maps (morphisms) play a central role in modern mathematics.

After studying basic properties of continuous maps and homotopies, the next subject to study in algebraic topology would be various kinds of fibrations, such as covering spaces, fiber bundles, Serre and Hurewicz fibration, quasifibrations.

The dual notion, cofibrations, might look unnatural at first. One of the ways to understand its importance is to study model categories .