Agamben - (Im)potentiality of law and politics

Placed between constituting and constituted power, homo sacer reveals the state of exception, which through sovereign ban, is kept both inside and outside the law. Agamben’s latest political and legal philosophy is based upon this concept. As the victim of sovereignty, homo sacer unfolds the paradox of sovereign power, criticiz- ing its fundaments and showing the emptiness of law. However, for potentiality which is at the centre of Agamben’s argument, we need to look not only outside sovereignty and sovereign power, but also outside homo sacer. This ar- ticle aims to examine such space, arguing that through absolute potentiality, the fulfilment of law is possible with the content to be focused on reaching conditions of justice and happy life

Blow-up scenarios for 3D NSE exhibiting sub-criticality with respect to the scaling of one-dimensional local sparseness

It is shown that, if the vorticity magnitude associated with a (presumed singular) three-dimensional incompressible Navier-Stokes flow blows-up in a manner exhibiting certain {\em time dependent local structure}, then {\em time independent} estimates on the $L^1$ norm of $|\omega|\log\sqrt{1+ |\omega|^2}$ follow. The implication is that the volume of the region of high vorticity decays at a rate of greater order than a rate connected to the critical scaling of one-dimensional local sparseness and, consequently, the solution becomes sub-critical.Comment: final version, to appear in J. Math. Fluid Mech., 13p

Discrete Morse theory for moment-angle complexes of pairs (D^n,S^{n-1})

For a finite simplicial complex K and a CW-pair (X,A), there is an associated CW-complex Z_K(X,A), known as a polyhedral product. We apply discrete Morse theory to a particular CW-structure on the n-sphere moment-angle complexes Z_K(D^{n}, S^{n-1}). For the class of simplicial complexes with vertex-decomposable duals, we show that the associated n-sphere moment-angle complexes have the homotopy type of wedges of spheres. As a corollary we show that a sufficiently high suspension of any restriction of a simplicial complex with vertex-decomposable dual is homotopy equivalent to a wedge of spheres.Comment: Corollary 1.2 and 1 reference added. Some formulations and arguments made more precis