Title :
Physical Science, Measurement and Instrumentation, Management and Education, IEE Proceedings A
Author :
Vourdas, A. ; Binns, K.J. ; Bossarit, A.
Author_Institution :
Dept. of Electr. Eng. & Electron., Liverpool Univ., UK
Abstract :
The author comments on the paper 6473A (see ibid., vol.136, no.2, p.49-54). He suggests that although the authors succeed well in conveying the main ideas of algebraic topology which are necessary to understand the mathematical nature of ´cutting surfaces´, they wrongly define cuts as surfaces (with boundary on the conductor) whose removal ´transform the multiply connected (air) region into (a) simply connected one´. The authors of the original article explain the concepts of homology and homotopy and point out that the relevant concept for their purposes is homology and not homotopy.<>
Keywords :
magnetostatics; algebraic topology; cutting surfaces; homology; homotopy; magnetostatics; multiply connected regions; scalar potentials;
Journal_Title :
Physical Science, Measurement and Instrumentation, Management and Education, IEE Proceedings A