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Displaying 41 – 60 of 162

On finite groups of isometries of handlebodies in arbitrary dimensions and finite extensions of Schottky groups

Mattia Mecchia, Bruno P. Zimmermann (2015)

Fundamenta Mathematicae

It is known that the order of a finite group of diffeomorphisms of a 3-dimensional handlebody of genus g > 1 is bounded by the linear polynomial 12(g-1), and that the order of a finite group of diffeomorphisms of a 4-dimensional handlebody (or equivalently, of its boundary 3-manifold), faithful on the fundamental group, is bounded by a quadratic polynomial in g (but not by a linear one). In the present paper we prove a generalization for handlebodies of arbitrary dimension d, uniformizing handlebodies...

On finite type 3-mainfold invarinats II.

Stavros Garoufalidis, Jerome Levine (1996)

Mathematische Annalen

On for dimensional s-cobordisms, II.

J.L. Shaneson, Sylvain E. Cappell (1989)

Commentarii mathematici Helvetici

On Four Dimensional Surgery and Applications

Sylvain E. Cappell, Julius L. Shaneson (1971)

Commentarii mathematici Helvetici

On Harder-Narashimhan stratification over Quot schemes.

R. Hernández (1986)

Journal für die reine und angewandte Mathematik

On Heegaard Decompositions of Torus Knot Exteriors and Related Seifert Fibre Spaces.

Heiner Zieschang, Michel Boileau, Markus Rost (1987/1988)

Mathematische Annalen

On homology of real algebraic sets.

W. Kucharz (1985)

Inventiones mathematicae

On homotopically regular mappings of manifolds

E. V. Shchepin (1986)

Banach Center Publications

On Homotopy Invariance of Higher Signatures.

Sylvain E. Cappell (1976)

Inventiones mathematicae

On hyperbolic 3-manifolds obtained by Dehn surgery on links.

Kim, Soo Hwan, Kim, Yangkok (2010)

International Journal of Mathematics and Mathematical Sciences

On indecomposable subcontinua of surfaces

Zbigniew Karno (1984)

Fundamenta Mathematicae

On infinite-dimensional manifolds

Toruńczyk, H. (1981)

Abstracta. 9th Winter School on Abstract Analysis

On inverse limits of (2k+m+1)-disk bundle maps

T. B. Rushing (1986)

Banach Center Publications

On iterated torus knots and transversal knots.

Menasco, William W. (2001)

Geometry & Topology

On linked Jordan curves in $R^{3}$

M. Mateljević (1975)

Matematički Vesnik

On locally $r$ -incomparable families of infinite-dimensional Cantor manifolds

Vitalij A. Chatyrko (1999)

Commentationes Mathematicae Universitatis Carolinae

The notion of locally $r$ -incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally $r$ -incomparable families of different types of finite-dimensional Cantor manifolds.

On low dimensional S-cobordisms.

Slawomir Kwasik (1986)

Commentarii mathematici Helvetici

On malnormal peripheral subgroups of the fundamental group of a $3$ -manifold

Pierre de la Harpe, Claude Weber (2014)

Confluentes Mathematici

Let $K$ be a non-trivial knot in the $3$ -sphere, $E_{K}$ its exterior, $G_{K} = π_{1} (E_{K})$ its group, and $P_{K} = π_{1} (\partial E_{K}) \subset G_{K}$ its peripheral subgroup. We show that $P_{K}$ is malnormal in $G_{K}$ , namely that $g P_{K} g^{- 1} \cap P_{K} = {e}$ for any $g \in G_{K}$ with $g \notin P_{K}$ , unless $K$ is in one of the following three classes: torus knots, cable knots, and composite knots; these are exactly the classes for which there exist annuli in $E_{K}$ attached to $T_{K}$ which are not boundary parallel (Theorem 1 and Corollary 2). More generally, we characterise malnormal peripheral subgroups in the fundamental group of a...

On manifold spines and cyclic presentations of groups

Alberto Cavicchioli, Friedrich Hegenbarth, Dušan Repovš (1998)

Banach Center Publications

This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.

On manifolds diffeomorphic on the complement of a point

Stefano De Michelis (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.

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