57Nxx 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 ($4 \less n \less \infty$)
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