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A brief survey of real algebraic structures on topological spaces is given. This article is written for the Gokova Gemetry/Topology Conference proceedings.

Geometric Topology · Mathematics 2008-12-28 Selman Akbulut

The main results of the paper are Proposition 3 and 4 which provide an effective way to construct minimal hypersurfaces in a Euclidean space. We demonstrate our technique by several new examples. This note is English translation of an…

Differential Geometry · Mathematics 2016-07-05 Vladimir V. Sergienko , Vladimir G. Tkachev

We summarize our work on structures in different stages of aggregation, and spanning a wide range in redshift. We emphasize our work on high resdhift clusters. This comprises the analysis of ~7 square degrees using deep images with several…

Astrophysics · Physics 2007-05-23 C. M. Gutierrez , R. Juncosa

In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.

Rings and Algebras · Mathematics 2017-10-04 Eliezer Batista

The concept of quasi-partial b-metric-like spaces is being introduced and studied with the help of topology. Examples are also discussed to support the results. Some fixed point theorems are proved in the setting of quasi-partial…

General Topology · Mathematics 2018-12-04 Anuradha Gupta , Manu Rohilla

We prove many new results about interacting Fock spaces. We pose many open problems; for most of them we prove that their solutions have no choice but being nontrivial. We ask the kind reader to consult the extended abstract in the paper.

Operator Algebras · Mathematics 2023-05-10 Malte Gerhold , Michael Skeide

In this paper we study multilinear morphisms between commutative group schemes and the associated tensor constructions. We will also do some explicit calculations and give examples that show that this theory behaves in a way that one would…

Number Theory · Mathematics 2019-08-16 Mohammad Hadi Hedayatzadeh

Here follows a preliminary report on the construction of fake millimeter and sub-millimeter skies, as observed by virtual instruments, e.g. the COBRA/SAMBA mission, using theoretical modeling and data extrapolations. Our goal is to create…

Astrophysics · Physics 2009-10-22 F. R. Bouchet , R. Gispert , N. Aghanim , J. R. Bond , A. De Luca , E. Hivon , B. Maffei

We study and relate certain actions and extensions involving 2-groups.

Algebraic Topology · Mathematics 2009-09-25 Alejandro Adem , Ergün Yalçin

The purpose of this paper is to give an effective construction for some induced structures on spheres or product of spheres of codimension 1, 2 or 3, respectively, in Euclidean space endowed with an almost product structure.

Differential Geometry · Mathematics 2007-05-23 Cristina-Elena Hreţcanu

We summarize recent work on the structure and dynamics of the Galactic bar and inner disk. Current work focusses on constructing a quantitative model which integrates NIR photometry, source count observations, gas kinematics, stellar…

Astrophysics · Physics 2007-05-23 Ortwin Gerhard , James Binney , HongSheng Zhao

Recent developments regarding index and overlap construction for staggered fermions are reviewed, highlighting the surprising and unexpected aspects.

High Energy Physics - Lattice · Physics 2011-04-01 David H. Adams

This article deals with plausible reasoning from incomplete knowledge about large-scale spatial properties. The availableinformation, consisting of a set of pointwise observations,is extrapolated to neighbour points. We make use of belief…

Artificial Intelligence · Computer Science 2013-01-14 Jerome Lang , Philippe Muller

We present a tentative summary of the many very interesting issues that have been addresses at this workshop, focussing in particular on the perspectives for measuring the polarization power spectra of the Cosmic Microwave Background…

Astrophysics · Physics 2014-10-13 Gianfranco De Zotti , Carlo Burigana , Carlo Baccigalupi

In this short note we give and discuss a general multilinear expression of the structure function of an arbitrary semicoherent system in terms of its minimal path and cut sets. We also examine the link between the number of minimal path and…

Applications · Statistics 2016-06-22 Jean-Luc Marichal

This article is an investigation of a method of deriving a topology from a space and an elementary submodel containing it. We first define and give the basic properties of this construction, known as $X/M$. In the next section, we construct…

Logic · Mathematics 2015-04-08 Peter Burton

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

We present a construction of a compact connected space which supports a normal probability measure.

General Topology · Mathematics 2015-07-13 Grzegorz Plebanek

The purpose of this paper is to describe and elaborate the philosophical ideas behind hyperstructures and structure formation in general and emphasize the key ideas of the Hyperstructure Program.

General Mathematics · Mathematics 2019-03-21 Nils A. Baas

The procedure for constructing the massive particle surfaces in static space-times is described in detail and the equivalence of the main results with the results of the geodesic approach is demonstrated.

General Relativity and Quantum Cosmology · Physics 2024-02-06 Igor Bogush , Kirill Kobialko , Dmitri Gal'tsov
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