‎By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness...

We give an intuitive method—using local, cyclic replica symmetry—to isolate exponential tree decay in truncated (connected) correlations. We give an expansion and use the symmetry to show that all terms vanish, except those displaying replica condensation. The condensation property ensures exponential tree decay. We illustrate our method in a low-temperature Ising system, but expect that one ca...

From the moment the Roslin Institute announced Dolly’s birth1, the potential for human cloning elicited worldwide attention, condemnation, and fear.2 In the remarks that follow, I argue that much of the fear and condemnation derives from the very different connotations that society and scientists attribute to the word “clone.” Popular conceptions of cloning consist of pure science fiction and p...

BACKGROUND Oncologists are at high risk of poor mental health. Prior research has focused on burnout, and has identified heavy workload as a key predictor. Compassion fatigue among physicians has generally received less attention, although medical specialties such as oncology may be especially at risk of compassion fatigue. We contribute to research by identifying predictors of both burnout and...