Although Kirby and Siebenmann [13] showed that there are manifolds which do not admit PL structures, the possibility remained that all manifolds could be triangulated. In the late seventies Galewski and Stern [10] constructed a closed 5–manifold M 5 so that every n–manifold, with n 5, can be triangulated if and only if M 5 can be triangulated. Moreover, M 5 admits a triangulation if and only if...

Numerous theories of consciousness hold that there are separate neural correlates of conscious experience and cognitive function, aligning with the assumption that there are 'hard' and 'easy' problems of consciousness. Here, we argue that any neurobiological theory based on an experience/function division cannot be empirically confirmed or falsified and is thus outside the scope of science. A '...

Personal connections can function as privileged channels of information and trust. When the reliability of information is particularly important applying for a job, needing capital for a new enterprise, moving to a new country their role often becomes crucial. Hence the ethnic enclaves, both residential and professional, in New York City; the economic weight of the Overseas Chinese in their cou...

Tree-walking automata are a natural sequential model for recognizing languages of finite trees. Such automata walk around the tree and may decide in the end to accept it. It is shown that deterministic tree-walking automata are weaker than nondeterministic tree-walking automata.

This correspondence points out a need for clarification concerning the methodology utilized in the study “Eye tracking detects disconjugate eye movements associated with structural traumatic brain injury and concussion”, recently published in The authors of the paper state Journal of Neurotrauma. that binocular eye movements were recorded using a single-camera video-oculography technique and th...