Quotient structured spaces

• Autorzy: Sasin W. , Lipiński P.
• Języki publikacji: EN

Abstrakty

EN

In this paper we investigate some properties of quotient structured spaces. The notion of a structured space was originally considered by Mostow [2]. Some foundations of structured spaces with applications to relativistic physics are presented in [1]. In the beginning we present some basic notions and definitions from structured space theory. Then we discuss some properties of quotient structured spaces. In the third part we present a space-time as a quotient space. At the end of this paper we consider F-quasiregular equivalence relation and the structured space with malicious singularity.

Słowa kluczowe

EN

structured spaces; differential spaces; geometric relations

PL

przestrzenie strukturalne; przestrzenie różniczkowe; relacje geometryczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 455--471
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Sasin W.

autor

Lipiński P.

• Department of Mathematics and Information Science Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland,

Bibliografia

• [1] K. Böröczky, Jr., Finite Packing and Covering, Cambridge Tracts in Mathematics, 154, Cambridge University Press, Cambridge, 2004.
• [2] P. Brass, W. Moser and J. Pach, Research Problems in Discrete Geometry, Springer, 2005.
• [3] G. Fejes Tóth and W. Kuperberg, Packing and Covering with Convex Sets, in: Handbook of convex geometry, Vol. B, North-Holland, Amsterdam, 1993, 799-860.
• [4] H. Groemer, Covering and packing by sequences of convex bodies, in: Discrete Geometry and Convexity, Ann. New York Acad. Sci., Vol. 440 (1985), 262-278.
• [5] J. Januszewski, Translative covering of a square by a sequence of arbitrary-oriented squares, Demonstratio Math. 40 (3) (2007), 681-700.
• [6] M. Lassak, A survey of algorithms for on-line packing and covering by sequences of convex bodies, Bolyai Soc. Math. Stud., 6, János Bolyai Math. Soc., Budapest, 1997, 129-157.
• [7] W. Moser and J. Pach, Research problems m discrete geometry, Privately published collection of problems, 1994.