Zobrazeno 1 - 10 of 24 pro vyhledávání: '"C. D. Feustel"'
1
Essential maps and embeddings of annuli in nonorientable 𝑀³
Autor: C. D. Feustel, R. J. Daigle
Publikováno v: Proceedings of the American Mathematical Society. 45:441-444
In this note we give an example which shows that the existence of an essential map of an annulus in a nonorientable 3 3 -manifold does not guarantee the existence of an essential embedding in that manifold.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::22932c1ea28994ceed70c31769b99d4d
https://doi.org/10.1090/s0002-9939-1974-0383410-5
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2
Groups and Complements of Knots
Autor: C. D. Feustel, Wilbur Whitten
Publikováno v: Canadian Journal of Mathematics. 30:1284-1295
We investigate the extent to which knot groups determine knot manifolds and knot types. Let Ki(i = 1, 2) denote a tame knot in S3, let Ci denote a Ki-knot manifold, and assume that Π1(C1) ≈ Π1(C2). The first named author recently showed (in [6])
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cc7f7dc77fa8e784af05f47596570cc4
https://doi.org/10.4153/cjm-1978-105-0
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3
On the torus theorem and its applications
Autor: C. D. Feustel
Publikováno v: Transactions of the American Mathematical Society. 217:1-43
In this paper, we prove the torus theorem and that manifolds in a certain class of 3-manifolds with toral boundary are determined by their fundamental groups alone. Both of these results were reported by F. Waldhausen. We also give an extension of Wa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::753f2e0c2df3a9003fe4b1789fa1697b
https://doi.org/10.1090/s0002-9947-1976-0394666-3
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4
Essential embeddings of annuli and Möbius bands in 3-manifolds
Autor: James W. Cannon, C. D. Feustel
Publikováno v: Transactions of the American Mathematical Society. 215:219-239
In this paper we give conditions when the existence of an “essential” map of an annulus or Möbius band into a 3-manifold implies the existence of an “essential” embedding of an annulus or Möbius band into that 3-manifold. Let λ 1 {\lambda
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::013537b9518075aed067a4109eebe07e
https://doi.org/10.1090/s0002-9947-1976-0391094-1
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5
On properly embedding planes in 3-manifolds
Autor: C. D. Feustel, M. S. Brown, E. M. Brown
Publikováno v: Proceedings of the American Mathematical Society. 55:461-464
In this paper we prove an analog of the loop theorem for a certain class of noncompact 3-manifolds. In particular, we show that the existence of a "nontrivial" proper map of a plane into a 3-manifold implies the existence of a nontrivial proper embed
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::406f1b7bd55e32f4f8409fb5d2e73451
https://doi.org/10.1090/s0002-9939-1976-0397735-2
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8
On replacing proper Dehn maps with proper embeddings
Autor: C. D. Feustel
Publikováno v: Transactions of the American Mathematical Society. 166:261-267
In this paper we develop algebraic and geometric conditions which imply that a given proper Dehn map can be replaced by an embedding. The embedding, whose existence is implied by our theorem, retains most of the algebraic and geometric properties req
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::00f8b70b40b7a355a9469c59eeadd90f
https://doi.org/10.1090/s0002-9947-1972-0293644-9
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9
Isotopy equivalence classes of normal arcs in 𝐹×𝐼
Autor: C. D. Feustel
Publikováno v: Proceedings of the American Mathematical Society. 38:393-399
Let F F be a compact 2 2 -manifold and I I the closed unit interval. Let α \alpha and β \beta be arcs embedded in F × I F \times I such that α \alpha and β \beta meet the boundary of F × I F \times I in the boundary of α \alpha and β \beta re
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::937502975f73faf2189770b09a357efe
https://doi.org/10.1090/s0002-9939-1973-0322847-6
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