Topology
Topology studies the properties of spaces that are preserved under continuous transformations, such as stretching and bending, but not tearing or gluing. It is concerned with the connectivity and continuity of spaces, rather than their precise measurements or coordinates. In the context of Applied Mathematics, Topology has wide-ranging applications in fields such as physics, engineering, and computer science. For instance, it can be used to model the behavior of complex systems, analyze the stability of structures, and understand the organization of networks. Thus, Topology provides a powerful framework for studying and solving problems in various scientific and mathematical disciplines, making it an integral part of the hierarchy Science/Mathematics/Applied Mathematics.
External Links
- [TopologyMapping.com] Schematix - Dependency Mapping of IT Systems and Business Processes
- [sketchesoftopology.wordpress.com] Sketches of Topology | visualizations of low dimensional topology
- [ldtopology.wordpress.com] Low Dimensional Topology | Recent Progress and Open Problems
- [AlgebraicTopology.com]
- [cornellmath.wordpress.com] The Everything Seminar | Geometry, Topology, Categories, Groups, Physics, . . . Everything
- [en.z88.de] Z88.de | Z88Aurora, Z88Arion, Z88 Open Source, Z88Apps – free finite element analysis and topology optimization for Windows, Unix, OS X and Android
- [GeometryGames.org] Topology and Geometry