منابع مشابه
Embedding and Knotting of Manifolds in Euclidean Spaces
A clear understanding of topology of higher-dimensional objects is important in many branches of both pure and applied mathematics. In this survey we attempt to present some results of higher-dimensional topology in a way which makes clear the visual and intuitive part of the constructions and the arguments. In particular, we show how abstract algebraic constructions appear naturally in the stu...
متن کاملIntrinsic Linking and Knotting of Graphs in Arbitrary 3–manifolds
We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S. Also, assuming the Poincaré Conjecture, a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S.
متن کاملObservations on Lickorish Knotting of Contractible 4–manifolds
Lickorish has constructed large families of contractible 4–manifolds that have knotted embeddings in the 4–sphere and has also shown that every finitely presented perfect group with balanced presentation occurs as the fundamental group of the complement of a knotted contractible manifold. Here we make a few observations regarding Lickorish’s construction, showing how to extend it to construct c...
متن کاملDna Knotting : Occurrences , Consequences
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متن کاملKnotting pathways in proteins.
Most proteins, in order to perform their biological function, have to fold to a compact native state. The increasing number of knotted and slipknotted proteins identified suggests that proteins are able to manoeuvre around topological barriers during folding. In the present article, we review the current progress in elucidating the knotting process in proteins. Although we concentrate on theore...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1961
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1961-10529-6