Related papers: Discrete localities II

For a local complete intersection morphism, we establish fiberwise denseness in the $n$-dimensional irreducible components of the compactification Nisnevich locally.

We provide partial answers to the open problems 4.5, 4.6 of \cite{Gardner} and 12.9 of \cite{Lut1} regarding the classification of fixed points of the second mixed projection operator and iterates of the projection and centroid operators.

Some new integrals involving the Stieltjes constants are developed in this paper.

A subspace arrangement in a vector space is a finite collection of vector subspaces. Similarly, a configuration of linear spaces in a projective space is a finite collection of linear subspaces. In this paper we study the degree 2 part of…

In this paper we continue the study of edge-colored graphs associated with finite idempotent algebras initiated in arXiv:2006.09599. We prove stronger connectivity properties of such graphs that will allows us to demonstrate several useful…

See http://www.math.msu.edu/~abbas or Wiley preprint server.

The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.

We prove that two dimensional convex subsets of spherical buildings are either buildings or have a center.

This is a survey of compactification extension results and problems for a special class of proximities.

It gives some new forms of General Neron Desingularization and new applications.

This is the first of two papers establishing structural properties of ${\cal R}_2$.

This paper concerns the self-similarity of topological spaces, in the sense defined in math.DS/0411344. I show how to recognize self-similar spaces, or more precisely, universal solutions of self-similarity systems. Examples include the…

In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.

A locale, being a complete Heyting algebra, satisfies De Morgan law $(a\vee b)^*=a^*\wedge b^*$ for pseudocomplements. The dual De Morgan law $(a\wedge b)^*={a^* \vee b^*}$ (here referred to as the second De Morgan law) is equivalent to,…

Let $M$ be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeomorphisms of $M$ generated by vector fields in each of of these…

We propose a notion of discrete elastic and area-constrained elastic curves in 2-dimensional space forms. Our definition extends the well-known discrete Euclidean curvature equation to space forms and reflects various geometric properties…

By a closure space we will mean a pair $(A,\mathcal{C})$, in which $A$ is a set and $\mathcal{C}$ a set of subsets of $A$ closed under arbitrary intersections. The purpose of this paper is to initiate a development of descent theory of…

In this paper, the notions of first-order and second-order generalized linear spans and index set are defined. Moreover, their properties are investigated and applied to the studies of extension of isometries. We develop the theory of…

We determine the injective envelope and local multiplier algebra of a continuous trace C*-algebra that arises from a continuous Hilbert bundle over an arbitrary locally compact Hausdorff space. In addition, we show that the second-order…

The dissipated spaces form a class of compacta which contains both the scattered compacta and the compact LOTSes (linearly ordered topological spaces), and a number of theorems true for these latter two classes are true more generally for…