We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed in the literature. introduce notion boundary such study its properties, including behavior under Gromov-Hausdorff convergence.

Research is increasingly dependent upon research computing and data (RCD) infrastructure, services, most importantly, skilled professionals who can help facilitate researchers’ use of technical resources. RCD regularly co-learn problems co-create solutions alongside researchers, which essential in domains new to compute/data-intensive methods. However, the roles are poorly understood (e.g., rel...

En la actualidad, los residuos de construcción y demolición (RCD) representan grandes retos para industria construcción. Esto se debe en buena medida a impactos ambientales negativos que conlleva su alta disposición vertederos, bajos niveles aprovechamiento el desconocimiento generalizado sobre prácticas circularidad sector. Las estrategias con enfoque economía circular (EC) brindan una serie o...

Abstract This paper studies sharp and rigid isoperimetric comparison theorems asymptotic properties for small large volumes on N -dimensional $$\textrm{RCD}(K,N)$$ RCD ( K , N ) spaces $$(X,\texts...

We present a simple approach for bacterial detection that uses bead-bound RNA-cleaving DNAzyme (RcD) and syringe. The RcD used in this study, F-EC1, is fluorescently labelled can be specifically activated by protein target released E. coli. Upon immobilization on agarose beads, the kinetic behaviour of F-EC1 remains similar to solution. F-EC1-agarose system was able detect as few 1,000 CFUs col...

We prove an upper bound on the rank of abelianised revised fundamental group (called “revised first Betti number”) a compact $\mathsf{RCD^{}}(K,N)$ space, in same spirit celebrated Gromov–Gallot number for smooth Riemannian manifold with Ricci curvature bounded below. When synthetic lower is close enough to (negative) zero and aforementioned saturated (i.e. equal integer part $N$, denoted by $\...