منابع مشابه
Immersions of Surfaces in Almost–complex 4–manifolds
In this note, we investigate the relation between double points and complex points of immersed surfaces in almost–complex 4–manifolds and show how estimates for the minimal genus of embedded surfaces lead to inequalities between the number of double points and the number of complex points of an immersion. We also provide a generalization of a classical genus estimate due to V.A. Rokhlin to the ...
متن کاملPoincaré Immersions
We show that the fundamental theorem of immersion theory admits a Poincaré duality space analogue. Along the way, we obtain new homotopy theoretic proofs of the existence and uniqueness of the Spivak normal fibration of a closed Poincaré space.
متن کاملInduced Immersions
A graph G contains a multigraph H as an induced immersion if H can be obtained from G by a sequence of vertex deletions and lifts. We present a polynomial-time algorithm that decides for any fixed multigraph H whether an input graph G contains H as an induced immersion. We also show that for every multigraph H with maximum degree at most 2, there exists a constant cH such that every graph with ...
متن کاملInvariants of Generic Immersions
An immersion of a smooth manifold M into a smooth manifold W is a smooth map with everywhere injective differential. Two immersions are regularly homotopic if they can be connected by a continuous 1-parameter family of immersions. An immersion is generic if all its self-intersections are transversal. In the space F of immersions M → W , generic immersions form an open dense subspace. Its comple...
متن کاملTorus Immersions and Transformations
All possible immersions of a torus in 3D Euclidean space can be grouped into four regular homotopy classes. All possible immersions within one such class can be transfigured into one another through continuous smooth transformations that will put no tears, creases, or other regions of infinite curvature into the surface. This report introduces four simple, easy-to-understand representatives for...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1976
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381758751