Bracken P. Topology. Recent Advances and Applications 2023

Textbook in PDF format

Topology remains an active and fundamental area of research that plays a foundational role in many branches of mathematics and science, such as analysis, differential geometry, physics and even biology. It is hoped the papers in this book will contribute to stimulating research in this basic area of mathematics.
Common Fixed Point Theorems in Complex-Valued Non-Negative Extended b-Metric Spaces
Fixed Point Theorems in Complex-Valued Double Controlled Metric-Like Spaces
Geometry of Sub-Riemannian Manifolds Equipped with a Quasi-Semi-Weyl Structure
Obtaining the Main Curvatures of Orientable Hypersurfaces, Based on Differential Geometry
Topology Optimization Generating System
Some Recent Advances in Non-Hausdorff Topology
The Topological Connectivity of the Bipartite Graph’s Independence Complex
Anomalies and Their Occurrence in the Study of Topology in Yang-Mills Gauge Theories
Topological Phenomena in Spin Systems: Textures and Waves
Mechanical System Kinematics and Dynamics on Differentiable Manifolds
Advanced Knotting Techniques (Examples from Surgical Practice)