K-differential spaces as sheaves. Induced and coinduced structure

• Autorzy: Piątkowski A.
• Języki publikacji: EN

Abstrakty

EN

Any K-differential space determines the sheaf of germs of its elements. We consider the K-differential space induced and coinduced by a single mapping. In this special case, we compare the sheaf of germs of the induced K-differential space with the inverse image of the sheaf of germs of a given K-differential space, and the sheaf of germs of the coinduced K-differential space with the image of the sheaf of germs of a given K-differential space.

Słowa kluczowe

EN

differential space; topological spaces; induced structure; differential geometry

PL

przestrzeń różniczkowa; struktury indukcyjne; przestrzeń topologiczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 2
• Strony: 495--506
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Piątkowski A.

• Institute of Mathematics, Technical University of Łódź, Al. Politechniki 11, 90-924 Łódź, Poland

Bibliografia

• [1] G. E. Bredon, Sheaf Theory. McGrav-Hill, New York, 1967.
• [2] A. Piątkowski, On the prefoliation of a K-differential space, Bull. Soc. Sci. Lett. Łódź 50 (2000), 11-22.
• [3] R. Sikorski, Introduction to Differential Geometry (in Polish), PWN Warszawa, 1972.
• [4] W. Waliszewski, Inducing and coinducing in general differential spaces, Demonstratio Math. 24, No 3-4 (1991), 657-664.
• [5] W. Waliszewski, Lecture notes, (unpublished).