Topology of Fibre Bundles

By N. Steenrod. 1951

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Citations in the corpus

Gauge Equivariant Convolutional Networks and the Icosahedral CNN (2019, background): “Mathematics & physics To deeply understand gauge equivariant networks, we recommend studying the mathematics of gauge theory: principal ﬁber bundles (Schuller, 2016; Husem ¨ oller, 1994; Steenrod, 1951).”
Fold maps with singular value sets of concentric spheres (2014, methodology): “We often use terminologies on (fiber) bundles in this paper (see also [18]).”
Orbifolds and Stringy Topology (2007, methodology): “We now proceed to adapt this construction to orbifolds using the basic method of constructing a principal bundle from a vector bundle, namely, by replacing the fibers with their automorphism groups as explained by Steenrod in [146].”
Introductory Schubert calculus (2010, background): “Our main references are Chern [2], Griffiths and Harris [6], Milnor and Stasheff [12], Montgomery [13], Steenrod [17] and Warner [18, p.”
Lectures on Holomorphic Curves in Symplectic and Contact Geometry (2010, methodology): “There is a standard procedure for constructing sections by induction over the skeleta of M , see [Ste51].”
Differential Geometry and Lie Groups (2020, background): “The same idea is well-known in bundle theory and can be found in standard texts such as Steenrod [109], Bott and Tu [18], Morita [87] and Wells [117].”
Existence of Engel structures (2004, background): “depend on the choice of trivializations on the 3{handles because it is a primary obstruction, cf. Theorem 34.2 in [ Ste ].”
Averaging and control of nonlinear systems (2003, background): “For background material, see standard texts such as [1, 70, 150].”
Chromatic numbers, morphism complexes, and Stiefel-Whitney characteristic classes (2005, background): “The generalities on bundles, including principal bundles, can be found in [Ste51].”