A Riesz representation theorem for cone-valued functions by Walter Roth

“…We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-valued functions endowed with an inductive limit topology may be represented by such integrals.…”
Get full text

k-space function spaces by R. A. McCoy

“…A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.…”
Get full text

Weakly compactly generated Frechet spaces by Surjit Singh Khurana

“…It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.…”
Get full text

Periodic Boehmians by Dennis Nemzer

“…It is shown that the Boehmians, with a given complete metric topological vector space topology, is not locally bounded.…”
Get full text

On the Equivalence of B-Rigidity and C-Rigidity for Quasitoric Manifolds by Jin Hong Kim

“…For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. …”
Get full text

Minimizing energy among homotopic maps by Pengzi Miao

“…After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy concentration.…”
Get full text

Intuitionistic fuzzy proximity spaces by Seok Jong Lee, Eun Pyo Lee

“…Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.…”
Get full text

On the Covariance of Moore-Penrose Inverses in Rings with Involution by Hesam Mahzoon

“…We will show that if a is a regular element in a C∗-algebra, then the covariance set of a is closed in the set of invertible elements (with relative topology) of C∗-algebra and is a cone in the C∗-algebra.…”
Get full text

On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes by Rajesh K. Thumbakara

“…Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. …”
Get full text

Homotopy Characterization of ANR Function Spaces by Jaka Smrekar

“…Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. …”
Get full text

A note on weakly θ-continuous functions by M. Mrševic, I. L. Reilly

“…Recently a new class of functions between topological spaces, called weakly θ-continuous functions, has been introduced and studied. …”
Get full text

A characterization of singular endomorphisms of a barrelled Pták space by Damir Franekić

“…The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). …”
Get full text

Slightly β-continuous functions by Takashi Noiri

“…Especially, we define the notion of ultra-regularizations of a topology and obtain interesting characterizations of slightly β-continuous functions by using it.…”
Get full text

A note on nonfragmentability of Banach spaces by S. Alireza Kamel Mirmostafaee

“…We use Kenderov-Moors characterization of fragmentability to show that if a compact Hausdorff space X with the tree-completeness property contains a disjoint sequences of clopen sets, then (C(X), weak) is not fragmented by any metric which is stronger than weak topology. In particular, C(X) does not admit any equivalent locally uniformly convex renorming.…”
Get full text

Gravitational higher-form symmetries and the origin of hidden symmetries in Kaluza-Klein compactifications by Carmen Gómez-Fayrén, Tomás Ortín, Matteo Zatti

“…We show that, in presence of isometries and non-trivial topology, the Einstein–Hilbert action is invariant under certain transformations of the metric which are not diffeomorphisms. …”
Get full text

Comparison of the evolutionary patterns of DNA repeats in ancient and young invertebrate species flocks of Lake Baikal by Wang Yuxiang, T. E. Peretolchina, E. V. Romanova, D. Y. Sherbakov

“…In order to do so, a neighbor joining tree was inferred for each quartet of species (amphipods and mollusks) based on the ratio of repeat classes shared in each pair of species. The topology of this tree was compared to the phylogenies inferred for the same species from the concatenated protein-coding mitochondrial nucleotide sequences. …”
Get full text

Trusted fuzzy routing scheme in flying ad-hoc network by Sahabul Alam, Joydeep Kundu, Shivnath Ghosh, Arindam Dey

“…Therefore, building routing protocols for FANETs is difficult due to flight restrictions and changing topology. To solve these problems, a bio-inspired route selection technique is proposed for FANET. …”
Get full text

AC Fault Mechanism and Impact Analysis of Offshore Wind Power Connected to Flexible and Direct Systems by Wanli JIANG, Ruoyu WANG, Jiajing LI, Jingyi LIANG

“…[Objective] In order to better understand the fault characteristics of offshore wind power access system, the impact analysis of AC fault characteristics of offshore wind power access system is carried out. [Method] The topology analysis of grid-connected transmission system of offshore wind power and the work control principle analysis of offshore wind power electrical structure were presented, including the work control principle analysis of PMSG, the topology and principle analysis of flexible and direct transmission system, the work control principle analysis of offshore converter station, the work control principle analysis of onshore converter station, and the work control principle analysis of offshore converter station. …”
Get full text

Continuous and Discrete Similarity Coefficient for Identifying Essential Proteins Using Gene Expression Data by Jiancheng Zhong, Zuohang Qu, Ying Zhong, Chao Tang, Yi Pan

“…Using the graph theory as the basis, we fused the newly proposed similarity coefficient with the existing network topology prediction algorithm at each protein node to recognize essential proteins. …”
Get full text

Deep learning powered single-cell clustering framework with enhanced accuracy and stability by Yi Zhang, Xi Feng, Yin Wang, Kai Shi

“…This method incorporates two key innovations: (1) Dual-topology adjacency graph: scG-cluster integrates information about node distribution into the traditional adjacency graph used by GCNs. …”
Get full text