An invitation to fiberwise topology: The general framework for multicolored images in pattern recognition and some of its artificial intelligence aspects

We present a short and rather informal account concerning a problem we posed in earlier work, recall our conjecture at the time, and report on our answer today. Specifically, our purpose is to draw attention to fiberwise topology as a possible mathematical tool for formalizing multi-colored images and other complex signals met in pattern recognition (P.R.), to provide some information concerning the mathematical background of the fiber topological machinery, and indicate how to use it. For a detailed technical study as well as a tentative hierarchical classification of topological images in growing order of complexity and the corresponding topological processing methods, the readers may consult Pavel 5]. The paper ends by mentioning some artificial intelligence (A.I.) aspects of the fiberwise imagery.