We study a new notion of trace operators and spaces for abstract Hilbert complexes. introduce as quotient spaces/annihilators. characterize the kernels images related discuss duality relationships between spaces. elaborate that many properties classical boundary traces associated with Euclidean de Rham complex on bounded Lipschitz domains are rooted in general structure arrive at complexes can ...

In this paper we activate theoretical principles for HCI and CSCW in analysis design of collaborative technologies. We critically evaluate about how technologies mediate activities through two empirical cases regarding smart speakers writing, respectively. Common to them is that both common objects mediating artifacts are set a mixed virtual physical setting. Principles from activity theory exa...