We show that the totally nonnegative part of a partial flag variety $G/P$ (in sense Lusztig) is regular CW complex, confirming conjecture Williams. In particular, closure each positroid cell inside Grassmannian homeomorphic to ball, Postnikov.

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...

This article evaluates the similarity of images of natural textures with changes of scale and rotation, through the application of structural metrics. The applied metrics are: Complex-Wavelet Structural Similarity Metric (CW-SSIM) and Structural Texture Similarity Metric (STSIM). First a decomposition of the images in sub-bands was realized. With the generated information the descriptors were e...

A brief overviewof Forman’s discrete Morse theory is presented, from which analogues of the main results of classical Morse theory can be derived for discrete Morse functions, these being functions mapping the set of cells of a CW complex to the real numbers satisfying some combinatorial relations. The discrete analogue of the strong Morse inequality was proved by Forman for finite CW complexes...

A new species of Stenolemus Signoret, 1858, Stenolemus annulatus sp. nov. (Reduviidae: Emesinae) is described from India. This new species is closely related to S. susainathani Wygodzinsky from Nilgiri Hills, South India and S. larat Wygodzinsky from Moluccas, Larat, by sharing common characteristics such as the ratio of distance between eyes and their width, long antennal first segment, slight...

Let G be a finite group given in one of the forms listed in the title with period 2d and X(n) an n-dimensional CW -complex with the homotopy type of an n-sphere. We study the automorphism group Aut (G) to compute the number of distinct homotopy types of orbit spaces X(2dn − 1)/μ with respect to free and cellular G-actions μ on all CW complexes X(2dn−1). At the end, the groups E(X(2dn−1)/μ) of s...

We construct finite volume hyperbolic manifolds with large symmetry groups. The construction makes use of the presentations of finite Coxeter groups provided by Barot and Marsh and involves mutations of quivers and diagrams defined in the theory of cluster algebras. We generalize our construction by assigning to every quiver or diagram of finite or affine type a CW-complex with a proper action ...

The Lefschetz fixed point theorem provides a powerful obstruction to the existence of minimal homeomorphisms on well-behaved spaces such as finite CW-complexes. We show that these obstructions do not hold for more general spaces. Minimal are constructed compact connected metric with any prescribed finitely generated $K$-theory or cohomology. In particular, although non-zero Euler characteristic...

We give a counterexample to a conjecture of D.H. Gottlieb and prove a strengthened version of it. The conjecture says that a map from a finite CW-complex X to an aspherical CW-complex Y with non-zero Euler characteristic can have non-trivial degree (suitably defined) only if the centralizer of the image of the fundamental group of X is trivial. As a corollary we show that in the above situation...

We give a counterexample to a conjecture of D.H. Gottlieb and prove a strengthened version of it. The conjecture says that a map from a finite CW-complex X to an aspherical CW-complex Y with non-zero Euler characteristic can have non-trivial degree (suitably defined) only if the centralizer of the image of the fundamental group of X is trivial. As a corollary we show that in the above situation...