fix: proofread Algebraic Topology I: Homotopy part - #332
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Minor corrections across the three chapters of the Algebraic Topology I
part (some topological constructions, fundamental groups, covering
projections):
- constructions: add missing period after "welding its boundary onto
$\CP^{n-1}$".
- fundamental-group: correct "$S^1$ (the boundary of the unit circle)" to
"(the unit circle)" -- $S^1$ is the unit circle itself.
- fundamental-group: "this loop $a$ and $b$ (and its inverses)" ->
"these loops $a$ and $b$ (and their inverses)".
- fundamental-group: "instead of merely assigns" -> "instead of merely
assigning".
- cover-project: fix typo $\pi_1(Y_0, y_0)$ -> $\pi_1(Y, y_0)$.
- cover-project: "the lifting criteria is" -> "the lifting criterion is".
- cover-project: drop redundant trailing $\ZZ$ in "additive group
structure $\ZZ$".
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01HDuMAvLEs4gH1VwDvWp4xr
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Proofreading pass over the Algebraic Topology I: Homotopy part (issue #315), covering the three chapters:
tex/topology/constructions.tex(Some topological constructions)tex/topology/fundamental-group.tex(Fundamental groups)tex/topology/cover-project.tex(Covering projections)All findings were minor (typos, grammar, one incorrect parenthetical). No large mathematical errors were found; the homotopy-groups-of-spheres table$\pi_n(S^m)$ was cross-checked and is correct.
Changes
Part of the proofreading campaign (#315).
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