Results 91 to 100 of about 722,539 (348)

Discreteness and Homogeneity of the Topological Fundamental Group [PDF]

arXiv, 2009
For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simply-connected. While functoriality of the topological fundamental group for arbitrary topological spaces remains an open question, the topological fundamental group is always a homogeneous space.
arxiv  

Chiral Engineered Biomaterials: New Frontiers in Cellular Fate Regulation for Regenerative Medicine

Advanced Functional Materials, EarlyView.
Chiral engineered biomaterials can selectively influence cell behaviors in regenerative medicine. This review covers chiral engineered biomaterials in terms of their fabrication methods, cellular response mechanisms, and applications in directing stem cell differentiation and tissue function.
Yuwen Wang, Xin Zhang, Denghui Xie, Chunying Chen, Zhifeng Huang, Zhong Alan Li   +5 more
wiley   +1 more source

Local homogeneity in fuzzy topological spaces

International Journal of Mathematics and Mathematical Sciences, 2006
Three types of local homogeneity in L-topological spaces are introduced and studied, and each is characterized and proved to be a good extension of local homogeneity in ordinary topological spaces. Many implications concerning them are introduced.
Samer Al Ghour
doaj   +1 more source

Stable Radical Polymers as New Electroactive Materials: Synthesis, Properties, and Emerging Applications

Advanced Functional Materials, EarlyView.
This review covers the recent advances in the synthesis and properties of stable radical polymers (SRPs) and presents their applications in electronics, magnetics, optoelectronics, and biomedicines. The review concludes with a discussion of the challenges in radical chemistry and functionalization, while shedding light on the groundbreaking potential ...
Yufeng Xiong, Yingjiang Li, Xinfang Cui, Shiwei Li, Xiangdong Peng, Yanyun Ju, Tong Zhou, Rui Feng, Yang Zhang, Zehong Wang, Qing Wang, Lijie Dong   +11 more
wiley   +1 more source

Topological Structure of Vague Soft Sets

Abstract and Applied Analysis, 2014
We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are ...
Chang Wang, Yaya Li
doaj   +1 more source

Countable Successor Ordinals as Generalized Ordered Topological Spaces [PDF]

arXiv, 2016
A topological space $L$ is called a linear ordered topological space (LOTS) whenever there is a linear order $\leq$ on $L$ such that the topology on $L$ is generated by the open sets of the form $(a, b)$ with $a < b$ and $a, b \in L \cup \{ -\infty, +\infty \}$.
arxiv  

Cech Closure Spaces: A Unified Framework for Discrete Homotopy

, 2020
Motivated by constructions in topological data analysis and algebraic combinatorics, we study homotopy theory on the category of Cech closure spaces $\mathbf{Cl}$, the category whose objects are sets endowed with a Cech closure operator and whose ...
Rieser, Antonio
core  

Hierarchically Engineered Triple‐Defensive Antifouling Coating with Well‐Regulated Structure for Enhanced Wastewater Treatment

Advanced Functional Materials, EarlyView.
Inspired by shark skin, which has a hydrophilic “denticle layer” and a low surface energy “mucus layer,” a triple‐defense antifouling coating is developed. This coating features a robust hydrophilic catalytic nanoparticle layer overlaid with dispersed hydrophobic perfluoro‐silane domains, optimizing fouling resistance, release, and degradation for ...
Wenshuai Yang, Dan Yang, Ziqian Zhao, Charley Huang, Bin Yan, Yun Liu, Ling Zhang, Lu Gong, Hongbo Zeng   +8 more
wiley   +1 more source

On Topologized Fundamental Group and covering spaces of topological groups [PDF]

arXiv, 2018
In this paper, we show that every topological group is a strong small loop transfer space at the identity element. This implies that the quasitopological fundamental group of a connected locally path connected topological group is a topological group. Also, we show that every covering space of a connected locally path connected topological group is a ...
arxiv  

Advances in Radiative Heat Transfer: Bridging Far‐Field Fundamentals and Emerging Near‐Field Innovations

Advanced Functional Materials, EarlyView.
This review synthesizes the evolution of radiative heat transfer, emphasizing the transition from far‐field to near‐field regimes. Traditional frameworks, such as Planck's law, are revisited alongside modern innovations like fluctuational electrodynamics. Applications span nanoscale thermal management, energy harvesting, and thermophotovoltaic systems.
Ambali Alade Odebowale, Andergachew Berhe, Rasheed T. Ogundare, Salah Abdo, Amer Abdulghani, Haroldo T. Hattori, Andrey E. Miroshnichenko   +6 more
wiley   +1 more source