# A remark on the paper "Properties of intersecting families of ordered sets" by O. Einstein

## TL;DR

This paper discusses a correction to a previous theorem on intersecting families of ordered sets and subspaces, providing two weaker variants due to an identified mistake in the original proof.

## Contribution

It identifies a mistake in Einstein's original proof and offers two alternative weaker theorems for intersecting families of ordered subspaces.

## Key findings

- Original theorem's proof contains a mistake.
- Two weaker variants of the theorem are proven.
- Clarifies the limitations of the original results.

## Abstract

O. Einstein (2008) proved Bollob\'as-type theorems on intersecting families of ordered sets of finite sets and subspaces. Unfortunately, we report that the proof of a theorem on ordered sets of subspaces had a mistake. We prove two weaker variants.