Hospice and palliative care principles mandate clinicians to provide “total” care to patients and their families. Such care incorporates not only physical, emotional, and psychosocial care, but spiritual care as well. Even though considerable attention has been directed to spiritual issues for adult patients in hospice and palliative care, spirituality in pediatric palliative care has been virtually neglected. The need for guidelines to assess spirituality in this population was identified as a priority issue by members of a subcommittee of the Children's International Project on Children's Palliative/Hospice Services, created under the auspices of the National Hospice Organization. Committee members, based on their clinical, research, and personal experiences, identified several aspects relevant to spirituality in general, and to spirituality in pediatric palliative care in particular, and developed guidelines for clinicians in pediatric palliative care. The purpose of this paper is to share the results of this committee's work and, in particular, to present their guidelines for addressing spiritual issues in children and families in pediatric hospice and palliative care.
In this paper, we show that any non-arithmetic hyperbolic 2-bridge link complement admits no hidden symmetries. As a corollary, we conclude that a hyperbolic 2-bridge link complement cannot irregularly cover a hyperbolic 3-manifold. By combining this corollary with the work of Boileau and Weidmann, we obtain a characterization of 3manifolds with non-trivial JSJ-decomposition and rank two fundamental groups. We also show that the only commensurable hyperbolic 2-bridge link complements are the figureeight knot complement and the 6 2 2 link complement. Our work requires a careful analysis of the tilings of R 2 that come from lifting the canonical triangulations of the cusps of hyperbolic 2-bridge link complements. 1 arXiv:1601.01015v2 [math.GT] 11 Jul 2016 Corollary 1.2. Let M be any hyperbolic 2-bridge link complement. If M is non-arithmetic, then M does not irregularly cover any hyperbolic 3-orbifolds (orientable or non-orientable). If M is arithmetic, then M does not irregulary cover any (orientable) hyperbolic 3-manifolds.By combining Corollary 1.2 with the work of Boileau-Weidmann in [3], we get the following characterization of 3-manifolds with non-trivial JSJ-decomposition and rank two fundamental groups. For a more detailed description of this decomposition see Section 5.3.
Every pseudo-Anosov mapping class \phi defines an associated veering triangulation \tau_\phi of a punctured mapping torus. We show that generically, \tau_\phi is not geometric. Here, the word "generic" can be taken either with respect to random walks in mapping class groups or with respect to counting geodesics in moduli space. Tools in the proof include Teichmüller theory, the Ending Lamination Theorem, study of the Thurston norm, and rigorous computation.
No abstract
Certain fibered hyperbolic 3-manifolds admit a layered veering triangulation, which can be constructed algorithmically given the stable lamination of the monodromy. These triangulations were introduced by Agol in 2011, and have been further studied by several others in the years since. We obtain experimental results which shed light on the combinatorial structure of veering triangulations, and its relation to certain topological invariants of the underlying manifold.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.