@Article{CMR-34-117, author = {Liu , Jian-Guo and Guo , Qi}, title = {Theorems of Helly's Type for Partially-Closed Half-Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {2}, pages = {117--124}, abstract = {

In this article, under quite weaker conditions, theorems of Helly's type for (not necessarily finite) family of partially closed half-spaces are presented in both analytic and geometric forms. Examples are also provided to show that these conditions cannot be omitted in general.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.02.03}, url = {http://global-sci.org/intro/article_detail/cmr/13516.html} }