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On the Structure of Topological Spaces [PDF]

Axioms, 2022
The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
doaj   +2 more sources

Algebraic Structure Graphs over the Commutative Ring ${\mathbb{Z}}_m$: Exploring Topological Indices and Entropies Using $\mathbb{M}$-Polynomials

Mathematics, 2023
The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali, Shahbaz Ali, Noor Hassan, Ali M. Mahnashi, Yilun Shang, Abdullah Assiry   +5 more
doaj   +2 more sources

THE NON-COPRIME GRAPHS OF UPPER UNITRIANGULAR MATRIX GROUPS OVER THE RING OF INTEGER MODULO WITH PRIME ORDER AND THEIR TOPOLOGICAL INDICES

Barekeng
In its application graph theory is widely applied in various fields of science, including scheduling, transportation, industry, and structural chemistry, such as topological indexes.
M. Afdhaluzzikri, I Gede Adhitya Wisnu Wardhana, Fariz Maulana, Hena Rani Biswas   +3 more
doaj   +2 more sources

Topologies on Smashed Twisted Wreath Products of Metagroups

Axioms, 2023
In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied.
Sergey Victor Ludkowski
doaj   +1 more source

Generative network models of altered structural brain connectivity in schizophrenia

NeuroImage, 2021
Alterations in the structural connectome of schizophrenia patients have been widely characterized, but the mechanisms remain largely unknown. Generative network models have recently been introduced as a tool to test the biological underpinnings of ...
Xiaolong Zhang, Urs Braun, Anais Harneit, Zhenxiang Zang, Lena S. Geiger, Richard F. Betzel, Junfang Chen, Janina I. Schweiger, Kristina Schwarz, Jonathan Rochus Reinwald, Stefan Fritze, Stephanie Witt, Marcella Rietschel, Markus M. Nöthen, Franziska Degenhardt, Emanuel Schwarz, Dusan Hirjak, Andreas Meyer-Lindenberg, Danielle S. Bassett, Heike Tost   +19 more
doaj   +1 more source

Codimension-2 defects and higher symmetries in (3+1)D topological phases

SciPost Physics, 2023
(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases.
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang, Ryohei Kobayashi, Nathanan Tantivasadakarn, Guanyu Zhu
doaj   +1 more source

Crystal Chemistry and Structural Complexity of the Uranyl Molybdate Minerals and Synthetic Compounds

Crystals, 2023
This paper reviews not the largest, but at the same time quite an interesting, group of natural and synthetic uranyl molybdate compounds. Nowadays, nine minerals of U and Mo are known, but the crystal structures have only been reported for five of them ...
Ivan V. Kuporev, Sophia A. Kalashnikova, Vladislav V. Gurzhiy   +2 more
doaj   +1 more source

Topological Structure of the Solution Sets for Impulsive Fractional Neutral Differential Inclusions with Delay and Generated by a Non-Compact Demi Group

Fractal and Fractional, 2022
In this paper, we give an affirmative answer to a question about the sufficient conditions which ensure that the set of mild solutions for a fractional impulsive neutral differential inclusion with state-dependent delay, generated by a non-compact semi-group, are not empty compact and an Rδ-set.
Zainab Alsheekhhussain, Ahmed Gamal Ibrahim, Akbar Ali   +2 more
openaire   +2 more sources

Coarse Geometry of Topological Groups

, 2021
This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of
Christian Rosendal
semanticscholar   +1 more source

Topological crystalline materials: General formulation, module structure, and wallpaper groups [PDF]

, 2017
We formulate topological crystalline materials on the basis of the twisted equivariant $K$-theory. Basic ideas of the twisted equivariant $K$-theory is explained with application to topological phases protected by crystalline symmetries in mind, and ...
Ken Shiozaki, M. Sato, Kiyonori Gomi
semanticscholar   +1 more source