A generalization of cohomotopy groups
A generalization of Jaeger-Nomura's Bose Mesner algebra associated to type II matrices
A category generalizing Jaeger-Nomura algebra associated to a spin model is given. It is used to prove some equivalence among the four conditions by Jaeger-Nomura for spin models of index 2.
A Generalization of Milnor's Inequality Concerning Affine Foliations and Affine Manifolds
A generalization of Steenrod’s approximation theorem
In this paper we aim for a generalization of the Steenrod Approximation Theorem from [16, Section 6.7], concerning a smoothing procedure for sections in smooth locally trivial bundles. The generalization is that we consider locally trivial smooth bundles with a possibly infinite-dimensional typical fibre. The main result states that a continuous section in a smooth locally trivial bundles can always be smoothed out in a very controlled way (in terms of the graph topology on spaces of continuous...
A generalization of the Schwarzian via Clifford numbers.
A generalization of Thom’s transversality theorem
We prove a generalization of Thom’s transversality theorem. It gives conditions under which the jet map is generically (for ) transverse to a submanifold . We apply this to study transversality properties of a restriction of a fixed map to the preimage of a submanifold in terms of transversality properties of the original map . Our main result is that for a reasonable class of submanifolds and a generic map the restriction is also generic. We also present an example of where the...
A generalized bridge number for links in 3-manifolds.
A generalized Leibniz rule and foundation of a discrete quaternionic analysis
A generating function for spin network evaluations
A genus for N-dimensional knots and links.
A Geometric Characterization of Harmonic Diffeomorphisms Between Surfaces.
A geometric decomposition of spaces into cells of different types.
A geometric description of differential cohomology
In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [5, 6, 7, 8]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in [4]. There the starting point was Quillen’s cobordism description of singular cobordism...
A geometric filtration of
A geometric interpretation of Milnor's triple linking numbers.
A geometric invariant of discrete groups.
A geometric study of Fibonacci groups.
A glimpse at knot theory
A graph-theoretical representation of PL-manifolds - A survey on crystallizations.
A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.