We explain how any cofibrantly generated weak factorisation system on a category may be equipped with a universally and canonically determined choice of cofibrant replacement. We then apply this to the theory of weak ω-categories, showing that the universal and canonical cofibrant replacement of the operad for strict ω-categories is precisely Leinster’s operad for weak ω-categories.

This report is made available under the NDA Transparency Policy. In line with this policy, the NDA is seeking to make information on its activities readily available, and to enable interested parties to have access to and influence on its future programmes. The report may be freely used for non-commercial purposes. However as these studies were undertaken under contract to the Nuclear Industry ...

Carbon paper is one of the most common carbon electrode materials employed in electrochemical research due to its low cost, disposability, and controllable dimensions scaling. usually hand cut a variety strategies are used define area. This procedure tedious, imprecise, inaccurate, yielding coefficients variation peak current output as high 20%. Imprecision hand-preparation translates directly ...

Double no-touch options, contracts which pay out a fixed amount provided an underlying asset remains within a given interval, are commonly traded, particularly in FX markets. In this work, we establish model-free bounds on the price of these options based on the prices of more liquidly traded options (call and digital call options). Key steps are the construction of superand sub-hedging strateg...

In this paper we give a proof of the strong Goldbach conjecture by studying limit status of original continuous Godbach natural number sequence {3, 4, ..., GNL} generated by original continuous odd prime number sequence {3, 5, ..., p} when p → ∞, that is, GNL = p when p → ∞. It implies the weak Goldbach conjecture. If a prime p is defined as Goldbach prime when GNL = p then Goldbach prime is th...

This paper uses the Covid-19 induced migration disruption in India as a lens to interrogate what this acute moment reveals about precarity of India’s migrant workers and their experiences work ordinary times. Interviews with interstate migrants from north employed Tiruppur region southern state Tamil Nadu present narratives being stuck at when lockdown began, subsequent struggles get home, fina...

Engaging Rob Nixon’s conceptualization of slow violence, this special issue provides a critical framework for how we understand violence relevant to political geography. In introduction, highlight three key contributions the collection that build upon and extend framing violence. First, attend spatialities revealing politics disposability racialized dispossession target particular people places...

The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been discussed in l p spaces. under the Creative Commons Attribution License, which permits unrestricted...

The slice condition and the more general weak slice conditions are geometric conditions on Euclidean space domains which have evolved over the last several years as a tool in various areas of analysis. This paper explores some of the finer distinctive properties of the various weak slice conditions.