scholarly journals A mechanical proof of the C. T. Yang's Theorem related to a property of derived sets in general topology

2020 ◽  
Vol 51 (1) ◽  
pp. 257
Author(s):  
Yang Zhengfeng ◽  
Wang Jianlin ◽  
Kobayashi Hidetsune ◽  
Zeng Zhenbing
Keyword(s):  
General Topology ◽  
Mechanical Proof

Random mosaics with cells of general topology

1996 ◽  
Vol 28 (02) ◽  
pp. 332
Author(s):  
Richard Cowan ◽  
Albert K. L. Tsang
Keyword(s):  
Euler Characteristic ◽  
Ergodic Theory ◽  
General Topology ◽  
Traditional Theory ◽  
Random Partition ◽  
Random Tessellation ◽  
Random Tessellations ◽  
Partition Process

This paper considers a structure, named a ‘random partition process’, which is a generalisation of a random tessellation. The cells, possibly multi-part and with holes, have a general topology summarised by the Euler characteristic. Vertices of all orders are allowed. Using the tools of ergodic theory, all of the formulae, from the traditional theory of random tessellations with convex cells, are generalised. Some motivating examples are given.

General topology optimization method with continuous and discrete orientation design using isoparametric projection

2014 ◽  
Vol 101 (8) ◽  
pp. 571-605 ◽  
Author(s):  
Tsuyoshi Nomura ◽  
Ercan M. Dede ◽  
Jaewook Lee ◽  
Shintaro Yamasaki ◽  
Tadayoshi Matsumori ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
General Topology ◽  
Topology Optimization Method
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