Homology n-spheres as codimension-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> shape msimpl-fibrators

Vasilevska, Violeta

doi:10.1016/j.topol.2008.01.011

Topology and its Applications

2008

DOI: 10.1016/j.topol.2008.01.011

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Homology n-spheres as codimension-(n+1) shape msimpl-fibrators

Violeta Vasilevska

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2019

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Coperfectly Hopfian groups and shape fibrator's properties

Vasilevska

2019

Topology and its Applications

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This paper provides further investigation of the concept of shape m simplfibrators (previously introduced by the author). The main results identify shape m simpl -fibrators among direct products of Hopfian manifolds. First it is established that every closed orientable manifold homotopically determined by π1 with coperfectly Hopfian group (a new class of Hopfian groups that are introduced here) is a shape m simpl o-fibrator if it is a codimension-2 fibrator (Theorem 5.4). The main result (Theorem 6.2) states that the direct product of two closed orientable manifolds (of different dimension) homotopically determined by π1 and with coperfectly Hopfian fundamental groups (one normally incommensurable with the other one) is a shape m simpl o-fibrator, if it is a Hopfian manifold and a codimension-2 fibrator.

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Coperfectly Hopfian groups and shape fibrator's properties

Vasilevska

2019

Topology and its Applications

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Homology n-spheres as codimension-(n+1) shape msimpl-fibrators

Cited by 1 publication

References 14 publications

Coperfectly Hopfian groups and shape fibrator's properties

Coperfectly Hopfian groups and shape fibrator's properties

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