57Q65 General position and transversality

57Q99 None of the above, but in this section

57Rxx Differential topology {For foundational questions of differentiable manifolds, see <a href="#code:58Axx">58Axx</a>; for infinite-dimensional manifolds, see <a href="#code:58Bxx">58Bxx</a>}

57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)

57R18 Topology and geometry of orbifolds

57R20 Characteristic classes and numbers

57R22 Topology of vector bundles and fiber bundles [See also <a href="#code:55Rxx">55Rxx</a>]

57R27 Controllability of vector fields on $C^\infty$ and real-analytic manifolds [See also <a href="#code:49Qxx">49Qxx</a>, <a href="#code:37C10">37C10</a>, <a href="#code:93B05">93B05</a>]

57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology [See also <a href="#code:58H10">58H10</a>]

57R45 Singularities of differentiable mappings

57R56 Topological quantum field theories

57R57 Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants [See also <a href="#code:58-XX">58-XX</a>]

57R60 Homotopy spheres, Poincaré conjecture

57R67 Surgery obstructions, Wall groups [See also <a href="#code:19J25">19J25</a>]

57R70 Critical points and critical submanifolds

57R75 ${\rm O}$- and ${\rm SO}$-cobordism

57R77 Complex cobordism (${\rm U}$- and ${\rm SU}$-cobordism) [See also <a href="#code:55N22">55N22</a>]

57R90 Other types of cobordism [See also <a href="#code:55N22">55N22</a>]

57R91 Equivariant algebraic topology of manifolds

57R99 None of the above, but in this section

57Sxx Topological transformation groups [See also <a href="#code:20F34">20F34</a>, <a href="#code:22-XX">22-XX</a>, <a href="#code:37-XX">37-XX</a>, <a href="#code:54H15">54H15</a>, <a href="#code:58D05">58D05</a>]

57S05 Topological properties of groups of homeomorphisms or diffeomorphisms

57S15 Compact Lie groups of differentiable transformations

57S20 Noncompact Lie groups of transformations

57S25 Groups acting on specific manifolds

57S30 Discontinuous groups of transformations