ContentsIntroduction............................................................................................................................................................................... 3§ 1. Historical development of the concept of a geometric object..................................................................................4§ 2. Manifold, coordinate system, transformations of the coordinate system............................................................. 7§ 3. Group, pseudogroup, groupoid.................................................................................................................................... 9§ 4. Wundheiler's definition of a geometric object........................................................................................................... 15§ 5. Special geometric objects............................................................................................................................................. 18§ 6. Abstract geometric object. The Haantjes-Laman definition of a geometric object............................................. 24§ 7. Classification of geometric objects.............................................................................................................................. 28§ 8. Equivalence of geometric objects................................................................................................................................ 39§ 9. Fibres of equivalent geometric objects....................................................................................................................... 42§ 10. Concomitants................................................................................................................................................................. 47§ 11. Algebra of geometric objects...................................................................................................................................... 54§ 12. Differential concomitants............................................................................................................................................. 57References............................................................................................................................................................................... 63
@book{bwmeta1.element.desklight-32d834f2-e572-45be-b8a4-4100a7f4909a, author = {M. Kucharzewski and M. Kuczma}, title = {Basic concepts of the theory of geometric objects}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1964}, zbl = {0127.12102}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-32d834f2-e572-45be-b8a4-4100a7f4909a} }
M. Kucharzewski; M. Kuczma. Basic concepts of the theory of geometric objects. GDML_Books (1964), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-32d834f2-e572-45be-b8a4-4100a7f4909a/