Soft J<sub>s</sub>-Spaces and Strong Soft J<sub>s</sub>-Spaces

Mohammed, Ramadhan A.; Sayed, O. R.

doi:10.1109/icoase.2019.8723664

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…The disc-on-a-chip shown in Figure 1a, b was designed based on organ perfusion principle using AutoCAD (2D) and SolidWorks (3D) as previously described. [33][34][35][36] Each device consists of four identical three-layer perfusion units. The top layer is a microchannel serving as flow inlet feeding fluid into perfusion chamber and an outlet for perfusates.…”

Section: Fabrication Of a Novel Microfluidic Device For Mouse Disc Organ Culturementioning

confidence: 99%

Microfluidic Disc-on-a-Chip Device for Mouse Intervertebral Disc—Pitching a Next-Generation Research Platform To Study Disc Degeneration

Dai

Xing

Xiao

et al. 2019

ACS Biomater. Sci. Eng.

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Low back pain is the most common cause of disability worldwide, and intervertebral disc degeneration is a major cause of low back pain. Unfortunately, discogenic low back pain is often treated with symptomatic relief interventions, as no disease-modifying medications are yet available. Both to-be-deciphered disc biology/pathology and inadequate in vitro research platform are major hurdles limiting drug discovery progress for disc degeneration. Here, we developed a microfluidic disc-on-a-chip device tailored for mouse disc organ as an in vitro research platform.

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Section: Fabrication Of a Novel Microfluidic Device For Mouse Disc Organ Culturementioning

confidence: 99%

Microfluidic Disc-on-a-Chip Device for Mouse Intervertebral Disc—Pitching a Next-Generation Research Platform To Study Disc Degeneration

Dai

Xing

Xiao

et al. 2019

ACS Biomater. Sci. Eng.

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“…e work of Shabir and Nazs [7], in particular, was crucial in establishing the field of soft topology. After that various classes of soft topological spaces have been proposed, such as: soft compact [8], soft connected [9], soft paracompact [9], soft extremely disconnected [10], and soft separable spaces [11], soft J-spaces [12], soft Menger spaces [13] and soft separation axioms [11,14]. At this point, it is worth remarking that not all classical results in topology are true in soft topology, see eorem 4 in [15].…”

Section: Introductionmentioning

confidence: 99%

Maximal Soft Compact and Maximal Soft Connected Topologies

Ghour

Ameen

2022

Applied Computational Intelligence and Soft Computing

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In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal, and some are minimal with respect to specific soft topological properties. We study the properties of soft compact and soft connected topologies that are maximal. Particularly, we prove that a maximal soft compact topology has identical families of soft compact and soft closed sets. We further show that a maximal soft compact topology is soft T 1 , while a maximal soft connected topology is soft T 0 . Lastly, we establish that each soft connected relative topology to a maximal soft connected topology is maximal.

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“…Shabir and Naz's [30] contributions were especially important in establishing the area of soft topology. Later several subclasses of soft topological spaces were suggested, including soft separation axioms [1] , [3] , [14] , soft separable spaces [14] , soft connected [25] , soft compact [13] , [32] , soft paracompact [25] , soft extremally disconnected [11] , soft J-spaces [27] , and soft (nearly) Menger spaces [4] , [24] . Furthermore, soft bioperators on soft topological spaces have been studied in [12] .…”

Section: Introductionmentioning

confidence: 99%