Coperfectly Hopfian groups and shape fibrator's properties

DOI10.1016/j.topol.2019.106842zbMath1426.57042arXiv1809.00283OpenAlexW2968925429WikidataQ127392476 ScholiaQ127392476MaRDI QIDQ2324554

Violeta Vasilevska

Publication date: 11 September 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00283

zbMATH Keywords

approximate fibrationcoperfectly Hopfian groupmanifold homotopicaly determined by \(\pi_1\)shape \(\mathrm{m}_{\text{simpl}}\)o-fibrator

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Topological manifolds (57N99)

Cites Work

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• Homology \(n\)-spheres as codimension-\((n+1)\) shape m\(_{\text{simpl}}\)-fibrators
• Decompositions and approximate fibrations
• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Codimension 2 fibrators that are closed under finite product
• Decompositions into codimension two submanifolds that induce approximate fibrations
• Products of hopfian manifolds and codimension-2 fibrators
• Submanifold decompositions that induce approximate fibrations
• Manifolds that induce approximate fibrations in the PL category
• Special manifolds and shape fibrator properties
• Subgroups of infinite index in Fuchsian groups
• The fundamental group of a surface, and a theorem of Schreier
• Groups
• PRODUCT OF PL FIBRATORS AS CODIMENSION-k FIBRATORS
• PL Maps with Manifold Fibers
• PL FIBRATORS AMONG PRODUCTS OF HOPFIAN MANIFOLDS
• Decompositions into Codimension-Two Manifolds
• Codimension 2 nonfibrators with finite fundamental groups
• The Geometries of 3-Manifolds
• On the faithful representation of infinite groups by matrices
• A note on the theory of shape of compacta
• Residual Finiteness of Surface Groups
• On Infinite Soluble Groups (IV)