Complex wavelet structural similarity (CW-SSIM) index has been recognized as a novel image similarity measure of broad potential applications due to its robustness to small geometric distortions such as translation, scaling and rotation of images. Nevertheless, how to make the best use of it in image classification problems has not been deeply investigated. In this study, we introduce a series ...

Introduction Several lines of evidence support the contribution of autoimmune mechanisms in the pathogenesis of Meniere’s disease. The aim of this study was determining the association between HLA-Cw Alleles in patients with definite Meniere’s disease and patients with probable Meniere’s disease and a control group.  Materials and Methods: HLA-Cw genotyping was performed in 23 patients with def...

The long-known results of Schreier on group extensions are here raised to a categorical level by giving a factor set theory for torsors under a categorical group (G,⊗) over a small category B. We show a natural bijection between the set of equivalence classes of such torsors and [B(B),B(G,⊗)], the set of homotopy classes of continuous maps between the corresponding classifying spaces. These res...

Among the classical variants of the Prüfer surface, some are homotopy equivalent to a CW-complex (namely, a point or a wedge of a continuum of circles) and some are not. The obstruction comes from the existence of uncountably many ‘infinitesimal bridges’ linking two metrizable open subsurfaces inside the surface. We show that any non-metrizable surface that possesses such a system of infinitesi...

In Morse theory an isolated degenerate critical point can be resolved into a finite number of nondegenerate critical points by perturbing the totally degenerate part of the Morse function inside the domain of a generalized Morse chart. Up to homotopy we can admit pertubations within the whole characteristic manifold. Up to homotopy type a relative CW-complex is attached, which is the product of...

For every quiver of finite type we define a finitely presented group called a picture group. We construct a finite CW complex which is shown in another paper [10] to be a K(π, 1) for this picture group. In [5] another independent proof was given for this fact in the special case of type An with straight orientation and we use this CW complex to compute the integral cohomology of picture groups ...

Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a Hausdorff space. Let Y X denote the space of continuous maps from X to Y equipped with the compact open topology. It is shown that if X is a CW complex then Y X is an ANR for the class of metric spaces if and only if Y X is metrizable and has the homotopy type of a CW complex. The same holds also when...

One of the core concepts from non-Hermitian skin effect is extended complex wavevectors (CW) in generalized Brillouin zone (GBZ), while origin CW remains elusive, and further experimental demonstration GBZ still lacking. We show that bulk states an open quantum system dynamically governed by Lindblad master equation exhibit non-Bloch evolution which results CW. Experimentally, we present tempor...

We show that a stabilized convex symplectic (also called Liouville) manifold with the homotopy type of half dimensional CW-complex is symplectomorphic to flexible Weinstein manifold.

INTRODUCTION. If X is a CW complex with cells only in even dimensions and R is a ring, then, by an elementary result in cellular cohomology theory, the ordinary eohomology H*(X;R) of X with R coefficients is a free, 7/-graded R-module. Since this result is quite useful in the study of well-behaved complex manifolds like projective spaces or Grassmannians, it would be nice to be able to generali...