Weak Linear Mappings -- A Survey
Hans Havlicek
TL;DR
This survey reviews various geometrical characterizations of structure-preserving mappings, focusing on projective spaces and their generalizations, providing a comprehensive overview of the field.
Contribution
It compiles and discusses existing results on structure-preserving mappings, especially weak linear mappings, and explores their generalizations beyond projective spaces.
Findings
Detailed characterization of projective space mappings
Extensions to other geometric spaces
Summary of key properties of weak linear mappings
Abstract
There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some detail and report on generalizations to other spaces.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Rings, Modules, and Algebras