Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have sets $S_1, \dots, S_m \subset\mathbb{R}^n$ ($m > n$). Each $S_j$ is the union of two half-spaces (a half-space is described by $\{x | a \cdot x \ge b \}$ for some $a \in \mathbb{R}^n$, $b \in \mathbb{R}$). I would like to know if $S_1 \cap \dots \cap S_m$ is path-connected. How can I test for this? Many thanks!

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.