  In this work, we explore the space of quantum states composed of $N$
particles. To investigate the entanglement resistant to particles loss, we
introduce the notion of $m$-resistant states. A quantum state is $m$-resistant
if it remains entangled after losing an arbitrary subset of m particles, but
becomes separable after losing a number of particles larger than $m$. We
establish an analogy to the problem of designing a topological link consisting
of $N$ rings such that, after cutting any $(m + 1)$ of them, the remaining
rings become disconnected. We present a constructive solution to this problem,
which allows us to exhibit several distinguished $N$-particles states with the
desired property of entanglement resistance to a particle loss.
