The Topology of Materialized Understanding
Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 2
Abstract
This paper materialize the abstract topology, using the language easy to understand, and introduce "topology", this math concepts as well as the core of it. In the process, we start from the definition of the concept of "topology", introduce the origin of the topology in detail, and reveal the essence of the problem by using the reverse of thinking. Then, we obtain the homeomorphism derived by the inverse of continuous mapping, and take another method--the number of topological strokes explaining the concept of "homeomorphism" which is easy to understand. However, this is not the end of topology. Next, we talk about "genus", which is topological invariance, and use examples to explain it. Finally, we describe the application of the "topology", and regard the 2016 Nobel physics prize to three scientists who has outstanding contributions in the topology as an opportunity to emphasize the topology of the mathematics "root".
Authors and Affiliations
Jiaxin Niu, et al.
Keywords
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