1,882 research outputs found

    Topological censorship from the initial data point of view

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    We introduce a natural generalization of marginally outer trapped surfaces, called immersed marginally outer trapped surfaces, and prove that three dimensional asymptotically flat initial data sets either contain such surfaces or are diffeomorphic to R^3. We establish a generalization of the Penrose singularity theorem which shows that the presence of an immersed marginally outer trapped surface generically implies the null geodesic incompleteness of any spacetime that satisfies the null energy condition and which admits a non-compact Cauchy surface. Taken together, these results can be viewed as an initial data version of the Gannon-Lee singularity theorem. The first result is a non-time-symmetric version of a theorem of Meeks-Simon-Yau which implies that every asymptotically flat Riemannian 3-manifold that is not diffeomorphic to R^3 contains an embedded stable minimal surface. We also obtain an initial data version of the spacetime principle of topological censorship. Under physically natural assumptions, a 3-dimensional asymptotically flat initial data set with marginally outer trapped boundary and no immersed marginally outer trapped surfaces in its interior is diffeomorphic to R^3 minus a finite number of open balls. An extension to higher dimensions is also discussed.Comment: v2: Appendix added, Theorem 5.1 improved, other minor changes. To appear in J. Diff. Geo

    Lumping, Fairness, and Single People

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    This essay explores the distributional impact that three forms of lumping have on single people without children: seat-assignment and seat-bargaining on public transportation, work-hour allocation, and single-family zoning. The first two involve lumps pursued by individuals outside of any legal regime; the last involves lumping by law. In all three, I submit, we tend to choose to devalue—or perhaps do not even perceive—the costs faced by the single person, and to assign relatively juiced-up value to the costs faced by those with families. The result in these arenas is that both society and law routinely externalize (hidden) costs onto single people and call the outcome both efficient and just when it might in fact be anything but

    Courts Beyond Judging

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    Across all fifty states, a woefully understudied institution of government is responsible for a broad range of administrative, legislative, law enforcement, and judicial functions. That important institution is the state courts. While the literature has examined the federal courts and federal judges from innumerable angles, study of the state courts as institutions of state government — and not merely as sources of doctrine and resolvers of disputes — has languished. This Article remedies that oversight by drawing attention for the first time to the wide array of roles state courts serve, and by evaluating the suitability of both the allocation of these tasks and the various procedures by which they are carried out across the country.In every state, on top of the ordinary adversarial dispute-resolution function that we expect judges to serve, it is state court judges who are charged with administrative functions like approving applications to change one’s name, to enter the legal profession, or to exercise constitutional rights like accessing abortion care without parental knowledge or consent. And it is often state court judges who are charged with or who have taken on a range of legislative and policymaking functions like redistricting and establishing specialized criminal courts for veterans, persons in need of drug treatment, and others. And in some states, it is state court judges who have the law enforcement power to decide whether a prosecutor’s charging choice was a wise exercise of her discretion. These are not mere odds and ends of governing either; weighty interests hang in the balance across the board.In addition to developing this more complete portrait of the state courts — and of important variation in how these roles are structured across the states — this Article examines whether the interests at stake in each context are appropriately served when state court judges handle them. In some arenas, they are, and this Article places these facets of state court practice on firmer theoretical footing. In others, however, there is cause for concern. With respect to these tasks, this Article argues that state court judges need to be better guided by statute and subject to reason-giving and record-developing requirements that would channel their discretion, improve their decisionmaking, and enable more rigorous appellate review. But most important of all, this Article calls for states to make more conscious choices about structuring the roles they assign to state courts, and for scholars to devote more careful attention to these powerful and nuanced institutions

    Judicial Deference and Institutional Character: Homeowners Associations and the Puzzle of Private Governance

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    Much of the study of judicial review of governing institutions focuses on the institutions of public government at the federal, state, and local levels. But the courts\u27 relationship with private government is in critical need of similar examination, and of a coherent framework within which to conduct it. This Article uses the lens of homeowners associations-a particularly ubiquitous form of private government-to construct and employ such a framework. Specifically, this Article proceeds from the premise that judicial deference is less appropriate the more unaccountable a governing institution is, and therefore develops a set of tests for institutional accountability. Applied to the homeowners association, this accountability analysis reveals that the analogy most often resorted to by state courts-that of the corporation-is inappropriate, because homeowners associations and corporations have fundamentally different internal accountability mechanisms. They therefore require different sorts of judicial review. The Article closes by employing the same accountability tests to show that a more fitting deference regime for homeowners associations could be drawn from an analogy to administrative agencie

    Judges, Judging and Otherwise

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    Ask the average person to imagine what a judge does, and the answer will most likely be something right out of a courtroom from Law & Order — or Legally Blonde, Just Mercy, My Cousin Vinny, Kramer vs. Kramer, or any of the myriad law-themed movies and television shows. A judge is faced with a dispute brought by some parties and their lawyers and is charged with resolving it, whether it be a breach of contract, a tort action, a competing claim over property, a disagreement about the meaning of a statute, some accusation that someone has committed a crime, and so on

    Towards a Principled Representation of Discourse Plans

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    We argue that discourse plans must capture the intended causal and decompositional relations between communicative actions. We present a planning algorithm, DPOCL, that builds plan structures that properly capture these relations, and show how these structures are used to solve the problems that plagued previous discourse planners, and allow a system to participate effectively and flexibly in an ongoing dialogue.Comment: requires cogsci94.sty, psfig.st

    Land Use Federalism\u27s False Choice

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    Debates about land use federalism — like those about federalism more broadly — often focus on whether policies and priorities ought to be set at the national or local level. But such categorical judgments about national intervention are inadequate because they obscure the diversity of mechanisms by which nationalization can and does occur. This Article draws attention to the importance of this underappreciated legislative design choice and develops a framework within which to evaluate it. This Article observes that nationalization can take the form of rules that either displace local decisionmaking or channel it, and that those rules can be implemented either by fiat or by way of incentive. These are not equivalent in terms of their effects on local democracy. Quite the contrary: the threat to the values of local democracy that motivate land use federalism arises primarily from decision-displacing fiat nationalizations — a tool that is likely unnecessary for most categories of land use goals. On the other hand, national action that channels land use decisionmaking or that incentivizes outcomes can achieve its ends while avoiding pernicious effects on local democracy. In fact, these forms of national action can even enhance local democracy. By confronting the full range of nationalizing options and accounting for their varied democratic impacts, this Article offers a solution to the federalist–nationalist dilemma in land use law, and may chart a path through the same thicket in other contexts
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