$PD_3$-pairs with compressible boundary

Fuente: arXiv
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1. Verfasser: Hillman, Jonathan A.
Format: Preprint
Veröffentlicht: 2020
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author Hillman, Jonathan A.
author_facet Hillman, Jonathan A.
contents We extend work of Turaev and Bleile to relax the $π_1$-injectivity hypothesis in the characterization of the fundamental triples of $PD_3$-pairs with aspherical boundary components. This is further extended to pairs $(P,\partial{P})$ which also have spherical boundary components and with $c.d.π_1(P)\leq2$.
format Preprint
id arxiv_https___arxiv_org_abs_2006_08057
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle $PD_3$-pairs with compressible boundary
Hillman, Jonathan A.
Geometric Topology
Algebraic Topology
57P10
We extend work of Turaev and Bleile to relax the $π_1$-injectivity hypothesis in the characterization of the fundamental triples of $PD_3$-pairs with aspherical boundary components. This is further extended to pairs $(P,\partial{P})$ which also have spherical boundary components and with $c.d.π_1(P)\leq2$.
title $PD_3$-pairs with compressible boundary
topic Geometric Topology
Algebraic Topology
57P10
url https://arxiv.org/abs/2006.08057