TANGENCY AND ORTHOGONALITY OF ARCS IN METRIC SPACES
Yıl 2012,
Cilt: 5 Sayı: 1, 120 - 127, 30.04.2012
Tadeusz Konık
Öz
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)
Kaynakça
- [1] A.D.Aleksandrov, Wnutriennaja geometrija wypuklych powierchnostiej, Moscow-Leningrad
1948.
- [2] M.R. Bridson i A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag Berlin
Heidelberg 1999.
- [3] T. Konik, Connections and applications of some tangency relation of sets, Balkan Journal of
Geometry and Its Applications 8(2) (2003), 105-112.
- [4] T. Konik, On some problems connected with the tangency of sets in generalized metric spaces,
International Electronic Journal of Geometry (IEJG), 2(1) (2009), 25-33.
- [5] S.Midura, O porównaniu definicji stycznósciluków prostych wogólnych przestrzeniach me-
trycznych, Rocznik Nauk. Dydakt. WSP Kraków, 25(1966), 91-122.
- [6] W.Waliszewski, On the tangency of sets in generalized metric spaces, Ann. Polon.
Math. 28(1973), 275-284.
Yıl 2012,
Cilt: 5 Sayı: 1, 120 - 127, 30.04.2012
Tadeusz Konık
Kaynakça
- [1] A.D.Aleksandrov, Wnutriennaja geometrija wypuklych powierchnostiej, Moscow-Leningrad
1948.
- [2] M.R. Bridson i A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag Berlin
Heidelberg 1999.
- [3] T. Konik, Connections and applications of some tangency relation of sets, Balkan Journal of
Geometry and Its Applications 8(2) (2003), 105-112.
- [4] T. Konik, On some problems connected with the tangency of sets in generalized metric spaces,
International Electronic Journal of Geometry (IEJG), 2(1) (2009), 25-33.
- [5] S.Midura, O porównaniu definicji stycznósciluków prostych wogólnych przestrzeniach me-
trycznych, Rocznik Nauk. Dydakt. WSP Kraków, 25(1966), 91-122.
- [6] W.Waliszewski, On the tangency of sets in generalized metric spaces, Ann. Polon.
Math. 28(1973), 275-284.
Toplam 6 adet kaynakça vardır.