Topological spaces

Ebook "The chemical bond II: 100 years old and getting stronger" starts with a detailed account of Lewis and Kossel’s legacy in defining the bonding in ionic and covalent compounds of main group elements and addresses the thermochemical and bond length implications of the Lewis and Kossel models.

272p tracanhphuonghoa1007 22-04-2024 3 2   Download

Part 2 book "A course in modern mathematical physics - Froups, hilbert space and differential geometry" includes content: Topology, measure theory andintegration, distributions, hilbert spaces, quantum mechanics, differential geometry, differentiable forms, integration on manifolds, connections and curvature, lie groups and lie algebras.

346p muasambanhan10 06-04-2024 3 0   Download

Ebook "Exotic properties of carbon nanomatter: Advances in physics and chemistry" reports the state-of-the-art advancements in modeling and characterization of fundamental and the recently designed carbon based nanocomposites (graphenes, fullerenes, polymers, crystals and allotropic forms). Written by leading experts in the field, the book explores the quantification, indexing, and interpretation of physical and chemical exotic properties related with space-time structure-evolution, phase transitions, chemical reactivity, and topology.

400p tudohanhtau1006 29-03-2024 6 1   Download

Ebook "Topological modelling of nanostructures and extended systems" represents a valuable resource to advances graduates and researchers working in mathematics, chemistry, physics and material science. It introduces a new speculative area and novel concepts like topochemical reactions and colored reactive topological indices and provides a better understanding of the physical-chemical behaviors of extended systems. Moreover, a charming new family of space-filling fullerenic crystals is here analyzed for the first time.

584p coduathanh1122 27-03-2024 5 1   Download

Continued part 1, part 2 of ebook "Mathematical methods in Physics: Distributions, Hilbert space operators, variational methods, and applications in quantum physics" provides readers with contents including: hilbert space operators; inner product spaces and hilbert spaces; geometry of hilbert spaces; separable hilbert spaces; direct sums and tensor products; topological aspects; linear operators; bounded linear operators; special classes of linear operators; elements of spectral theory;...

381p lytamnguyet 04-08-2023 5 4   Download

Ebook Topology: Part 1 presents the following content: Topological Spaces; Basis for Topology; The Order Topology; The Subspace Topology; Closed Sets and Limit Point; Continuous Functions;...Please refer to the documentation for more details.

158p chankora 16-06-2023 3 1   Download

Ebook Topology: Part 2 presents the following content: The Urysohn Metrization Theorem; The Tietze Extension Theorem; The Tychonoff Theorem; The Stone-Cech Compactification; Local Finiteness and Paracompactness;...Please refer to the documentation for more details.

107p chankora 16-06-2023 3 1   Download

Part 1 of lecture Topology presents the following content: general topology; infinite sets; topological space; continuity; connectedness; convergence; compactness; product of spaces; real functions and spaces of functions; quotient space;...

96p damtuyetha 09-01-2023 8 2   Download

Continued part 1, part 2 of lecture Topology presents the following content: algebraic topology; structures on topological spaces; classification of compact surfaces; homotopy; the fundamental group; the fundamental group of the circle; differential topology; tangent spaces and derivatives;...

139p damtuyetha 09-01-2023 8 2   Download

In this article, a Python-programmed advanced design paradigm is firstly introduced to topology and size optimization of the X-bracing system of nonlinear inelastic space steel frames. For that purpose, an advanced analysis method considering both geometric and material nonlinearities is utilized as an effective finite element analysis (FEA) solver.

13p vimclaren 12-10-2022 8 2   Download

In this paper, we study the systems of generalized multivalued strong vector quasi-equilibrium problem (in short (SQVEP)) real locally convex Hausdorff topological vector spaces. This problem includes as special cases the generalized strong vector quasi-equilibrium problems, quasi-equilibrium problems, equilibrium problems and variational inequality problems.

4p vilexus 30-09-2022 4 2   Download

The purpose of this paper "Linear topological invariants of spaces of holomorphic functions in infinite dimension" is to investigate the existence of generalized solutions for strongly parabolic systems in a cylindrical domain. The decay of the solution at infinity, depending on the right-hand of the equation, is also studied in this article.

18p runordie5 04-07-2022 6 1   Download

The aim of the present paper "The Topology on the Space of δ-psh Functions in the Cegrell Classes" is to introduce a metric locally convex topology on the space δE = E−E of δ-psh functions in the Cegrell class E. We prove that with this topology δE is a non-separable and non-reflexive Fr´echet space. At the same time, we extend the Monge–Amp`ere operator from the class E to δE.

14p runordie5 04-07-2022 6 1   Download

The aim of this note "A note on Alexander’s theorem" is to extend a result of H. Alexander [1] from the case of scalar functions to the case of functions with values in topological vector spaces. The goal of this note is to extend this result to the case where the target space C is replaced by any sequentially complete complex topological vector space F. The main result of this article is given by the following theorem.

4p runordie5 04-07-2022 4 1   Download

In this paper, we establish existence results of fixed point for mixed monotone operators in a real Hausdorff locally convex topological vector space without normality of cone. Our result is an extension of Z. Zhang- K. Wang.

7p viirenerosenfeld 02-06-2022 12 1   Download

Advanced Computer Networks: Lecture 9. This lecture will cover the following: sequence number space; required sequence number space; shared access networks, shared access media, multiple access media; ethernet topologies; ethernet adaptor; ethernet components; ethernet packet frame;...

33p haoasakura 30-05-2022 13 4   Download

In this thesis, we study some results of f-minimal surfaces in product spaces with the following purposes: State the relation between the f-minimal surfaces and the selfsimilar solutions of the mean curvature flow; state some properties of the f-minimal surfaces in the product spaces; construct some Bernstein type theorems, halfspace type theorems for f-minimal (f-maximal) surfaces in product spaces; state some results on the higher codimensional f-minimal surfaces.

28p closefriend09 16-11-2021 16 3   Download

Topological association domains (TADs) are chromosomal domains characterised by frequent internal DNA-DNA interactions. The transcription factor CTCF binds to conserved DNA sequence patterns called CTCF binding motifs to either prohibit or facilitate chromosomal interactions. TADs and CTCF binding motifs control gene expression, but they are not yet well defined in the bovine genome. In this paper, we sought to improve the annotation of bovine TADs and CTCF binding motifs, and assess whether the new annotation can reduce the search space for cis-regulatory variants.

17p vibeauty 23-10-2021 21 0   Download

In this paper we propose results on zero duality gap in vector optimization problems posed in a real locally convex Hausdorff topological vector space with a vector-valued objective function to be minimized under a set and a convex cone constraint. These results are then applied to linear programming.

14p nguaconbaynhay12 03-06-2021 13 1   Download

In this paper, we first introduce a new class of bilevel weak vector variational inequality problems in locally convex Hausdorff topological vector spaces. Then, using the Kakutani-Fan-Glicksberg fixed-point theorem, we establish some existence conditions of the solution for this problem.

11p cothumenhmong11 05-05-2021 17 2   Download