We generalise results of Thomas, Allcock, Thom-Petersen, and Kar-Niblo to the first $\ell^2$-Betti number quotients certain groups acting on trees by subgroups with free actions edge sets graphs.

An isolate of Penicillium biforme Thom produced rugulovasines A and B. An isolate of Penicillium rubrum Stoll produced rugulovasines A and B and also chlororugulovasines A and B. Both fungi represent new sources of the rugulovasines.

We give a Pontryagin-Thom-Szűcs type construction for non-positive codimensional singular maps, and obtain results about cobordism and bordism groups of −1 codimensional stable maps with prescribed singular fibers.

Physically based rainfall retrievals from passive microwave sensors often make use of cloud-resolving models (CRMs) to build a priori databases of potential rain structures. EachCRM, however, has its own cloud microphysics assumptions. Hence, approximated microphysics may cause uncertainties in the a priori information resulting in inaccurate rainfall estimates. This study first builds a priori...

By the early 1950’s algebraic topology had reached great heights with Serre’s thesis and the calculations in the seminar of Henri Cartan of the cohomology of spaces with one nonzero homotopy group in terms of Steenrod operations. There was also the appearance of the new characteristic classes of vector bundles, Pontryagin classes (Z coefficients) and Chern-Weil classes (coefficients in R) joini...

1.1. Let f and f ′ be germs of analytic functions on smooth complex analytic varieties X and X ′ and consider the function f ⊕ f ′ on X × X ′ given by f ⊕ f (x, x) = f(x) + f (x). The Thom-Sebastiani Theorem classically states that the monodromy of f ⊕ f ′ on the nearby cycles is isomorphic to the product of the monodromy of f and the monodromy of f ′ (in the original form of the Theorem [18] t...

Let $M_\Sigma$ be an $n$-dimensional Thom-Mather stratified space of depth $1$. We denote by $\beta M$ the singular locus and $L$ associated link. In this paper we study problem when such a can endowed with wedge metric positive scalar curvature. relate to recent work on index theory spaces, giving first obstruction existence in terms $\alpha$-class $\alpha_w (M_\Sigma)\in KO_n$. order establis...