Topology
by James R. Munkres · James R. Munkres
James Munkres's standard textbook on topology, in two parts: general point-set topology (spaces, continuity, connectedness, compactness, countability and separation axioms) and introductory algebraic topology, including the fundamental group, covering spaces and the Seifert-van Kampen theorem. Proof-based; suits readers comfortable with real analysis.
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More resources on Fundamental Group
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Collaborative wiki for mathematics, physics and philosophy written from a category-theoretic viewpoint, with cross-linked entries on categories, functors, adjunctions, topos theory, higher category theory and homotopy theory. Readers can look up precise definitions, examples and references for advanced structural mathematics.