A. Paul

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20192022

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math.AT2021

Simplicial and combinatorial versions of higher symmetric topological complexity

Amit Kumar Paul, Debasis Sen

In this paper, we introduce higher symmetric simplicial complexity $S C_{n}^{Σ} (K)$ of a simplicial complex $K$ and higher symmetric combinatorial complexity $C C_{n}^{Σ} (P)$ of a finite pos…

math.AT2019

An upper bound for higher topological complexity and higher strongly equivariant complexity

Amit Kumar Paul, Debasis Sen

We prove an upper bound of higher topological complexity $T C_{n} (X)$ using higher $D$ -topological complexity $T C_{n}^{D} (X)$ of a space $X$ . An intermediate invaria…

math.AT2019

Higher analogs of simplicial and combinatorial complexity

Amit Kumar Paul

We introduce higher simplicial complexity of a simplicial complex $K$ and higher combinatorial complexity of a finite space $P$ (i.e. $P$ is a finite poset). We relate higher simpl…