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Topological manifolds

57N05 Topology of $E^2$, $2$-manifolds
57N10 Topology of general $3$-manifolds [See also 57Mxx]
57N12 Topology of $E^3$ and $S^3$ [See also 57M40]
57N13 Topology of $E^4$, $4$-manifolds [See also 14Jxx, 32Jxx]
57N15 Topology of $E^n$, $n$-manifolds ($4  < n < \infty$)
57N16 Geometric structures on manifolds [See also 57M50]
57N17 Topology of topological vector spaces
57N20 Topology of infinite-dimensional manifolds [See also 58Bxx]
57N25 Shapes [See also 54C56, 55P55, 55Q07]
57N30 Engulfing
57N35 Embeddings and immersions
57N37 Isotopy and pseudo-isotopy
57N40 Neighborhoods of submanifolds
57N45 Flatness and tameness
57N50 $S^{n-1}\subset E^n$, Schoenflies problem
57N55 Microbundles and block bundles [See also 55R60, 57Q50]
57N60 Cellularity
57N65 Algebraic topology of manifolds
57N70 Cobordism and concordance
57N75 General position and transversality
57N80 Stratifications
57N99 None of the above, but in this section