Topology
Topology, as a branch of mathematics under Number Theory in the hierarchy Science/Mathematics/Number Theory, studies the properties of space that are preserved under continuous transformations. It focuses on the shape and arrangement of objects, rather than their specific measurements or coordinates. This field is closely related to geometry and analysis, but with an emphasis on qualitative features and invariants, such as connectedness, compactness, and orientability. Topological concepts have wide-ranging applications in fields like physics, engineering, computer science, and biology, making it a vital area of study within the broader context of mathematics and science.
External Links
- [TopologyMapping.com] Schematix - Dependency Mapping of IT Systems and Business Processes
- [sketchesoftopology.wordpress.com] Sketches of Topology | visualizations of low dimensional topology
- [AlgebraicTopology.com]
- [ldtopology.wordpress.com] Low Dimensional Topology | Recent Progress and Open Problems
- [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