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Arithmetic genus of integral space curves

Hao Sun — 2018

Czechoslovak Mathematical Journal

We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree k - 1 . Our main technique is the Bogomolov-Gieseker type inequality for 3 proved by Macrì.

A bi-average tree solution for probabilistic communication situations with fuzzy coalition

Xianghui LiHao SunDongshuang Hou — 2019

Kybernetika

A probabilistic communication structure considers the setting with communication restrictions in which each pair of players has a probability to communicate directly. In this paper, we consider a more general framework, called a probabilistic communication structure with fuzzy coalition, that allows any player to have a participation degree to cooperate within a coalition. A maximal product spanning tree, indicating a way of the greatest possibility to communicate among the players, is introduced...

New properties of the concentric circle space and its applications to cardinal inequalities

Shu Hao SunKoo Guan Choo — 1991

Commentationes Mathematicae Universitatis Carolinae

It is well-known that the concentric circle space has no G δ -diagonal nor any countable point-separating open cover. In this paper, we reveal two new properties of the concentric circle space, which are the weak versions of G δ -diagonal and countable point-separating open cover. Then we introduce two new cardinal functions and sharpen some known cardinal inequalities.

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