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    7696 research outputs found

    Ends and end cohomology

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    Ends and end cohomology are powerful invariants for the study of noncompact spaces. We present a self-contained exposition of the topological theory of ends and prove novel extensions including the existence of an exhaustion of a proper map. We define reduced end cohomology as the relative end cohomology of a ray-based space. We use those results to prove a version of a theorem of King that computes the reduced end cohomology of an end sum of two manifolds. We include a complete proof of Freudenthal’s fundamental theorem on the number of ends of a topological group, and we use our results on dimension-zero end cohomology to prove—without using transfinite induction—a theorem of Nöbeling on freeness of certain modules of continuous functions

    Living a good death : Caring for solitary deaths in Japan

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    How do public health metrics of “good death” shape care and everyday life? Concerns over dying alone has become prevalent worldwide. In Japan, social anxieties over solitary deaths (kodokushi) have intensified in a rapidly aging society. In response, care practices have emerged to keep people social in life and death. Through ethnographic fieldwork in a tsunami-affected town in Miyagi, I examine how post-disaster care has been reorganized in response to fears of kodokushi. Care workers improvised their activities to reconcile bureaucratic demands for “statistics of sociality” with survivors’ shifting needs and desires. These activities demonstrate the impact of standardized scripts of “good death” on the quality of life and care of those they aim to protect. At the same time, they reveal the potential for care that embraces the indeterminacy and situatedness of what constitutes a good death, allowing for diverse ways of living and dying well

    Hajj Across Empires Pilgrimage and Political Culture After the Mughals, 1739–1857

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    Constructing Multicusped Hyperbolic Manifolds That are Isospectral and Not Isometric

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    In a recent paper Garoufalidis and Reid constructed pairs of 1-cusped hyperbolic 3-manifolds which are isospectral but not isometric. We extend this work to the multicusped setting by constructing isospectral but not isometric hyperbolic 3-manifolds with arbitrarily many cusps. The manifolds we construct have the same Eisenstein series, the same infinite discrete spectrum and the same complex length spectrum. Our construction makes crucial use of Sunada\u27s method and the strong approximation theorem of Nori and Weisfeiler

    Using Heritage Materials to Inspire New Understanding in Solid State Chemistry

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    Research problems stemming from investigating or conserving cultural heritage objects can provide a test bed for advancing our collective understanding of complex and dynamic materials, as well as inspiring discovery of new materials families. The key is in recognizing changes that can happen to a material over time scales of years to millennia, due to the environment in which it exists; these kinds of investigations are very under-represented in the field of solid state chemistry. We illustrate this opportunity using examples from our own and others\u27 work on the long-term alterations of carbonates and complex oxides. In doing so, we emphasize the mutual benefit between synthetic and materials characterization strategies of solid state chemistry and research questions in the field of heritage materials

    Learned trustworthiness does not have the same influence on implicit responses measured via fast periodic visual stimulation as face trustworthiness

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    Past research has demonstrated that it is possible to detect implicit responses to face trustworthiness using fast periodic visual stimulation (FPVS). Because people readily retrieve affective associations with faces, the current study investigated whether learned trustworthiness would yield similar responses to face trustworthiness as measured via FPVS. After learning to associate faces with untrustworthy or trustworthy behaviors, participants completed three separate tasks while electroencephalography (EEG) was recorded. In each of these tasks, participants viewed oddball sequences of faces where a single base face was presented repeatedly at a rate of 6 Hz and oddball faces with different identities were presented every fifth face (6 Hz/5 = 1.2 Hz). Providing evidence of learning, the oddball response at 1.2 Hz and its harmonics was stronger for the learned faces compared to novel faces over bilateral occipitotemporal cortex and beyond. In addition, reproducing previous findings with face trustworthiness, we observed a stronger response at 1.2 Hz and its harmonics for sequences with less trustworthy-looking versus trustworthy-looking oddball faces over bilateral occipitotemporal cortex and other sites. However, contrary to our predictions, we did not observe a significant influence of learned trustworthiness on the oddball response. These data indicate that impressions based on learning are treated differently than impressions based on appearance, and they raise questions about the types of design and stimuli that yield responses that are measurable via FPVS. Although people readily retrieve affective associations with faces, the current study found that learned trustworthiness did not have the same influence on implicit responses as measured via fast periodic visual stimulation (FPVS) as face trustworthiness. This failure to find an effect of learned trustworthiness raises questions about the types of stimuli and designs that yield responses that are measurable via FPVS

    Wednesday\u27s Child: A study of Black girlhood through the eyes of grief

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    In a world where the narrative of Black womanhood has been systematically distorted and marginalized, this proposal embarks on a transformative journey of visual storytelling—an evocative short film project. Guided by the wisdom of African cosmology, and drawing inspiration from the pioneering scholarship of Black feminist luminaries such as Audre Lorde, Patricia Hill Collins, and bell hooks, this project aspires to challenge the deeply entrenched stereotype of hypersexualization that has long haunted the portrayal of Black women in media. Rooted in the metaphorical landscape of the seven stages of grief, this cinematic exploration intricately weaves together music, community collaboration, and the diverse voices and faces of Black women. It endeavors to craft a narrative that is at once universal and deeply personal—a narrative that reshapes perceptions, empowers, and uplifts. In embracing this holistic approach, the project not only reaffirms the resilience and beauty of Black womanhood but also serves as a beacon of hope, a testament to the enduring legacy of Black feminist thought

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