G. Shen

collaborators

4 papers

math.LO2025

On ordering of surjective cardinals

Guozhen Shen, Wenjie Zhou

Let $Card$ denote the class of cardinals. For all cardinals $a$ and $b$ , $a ⩽ b$ means that there is an injection from a…

math.LO2025

A note on surjective cardinals

Jiaheng Jin, Guozhen Shen

For cardinals $a$ and $b$ , we write $a =^{*} b$ if there are sets $A$ and $B$ of cardinalities $a$ and $b$ , respect…

math.LO2025

Boundedly finite-to-one functions

Xiao Hu, Guozhen Shen

A function is boundedly finite-to-one if there is a natural number $k$ such that each point has at most $k$ inverse images. In this paper, we prove in $ZF$ (i.e., the Zerm…

math.LO2024

The finitary partitions with $n$ non-singleton blocks of a set

Yifan Hu, Guozhen Shen

A partition is finitary if all its blocks are finite. For a cardinal $a$ and a natural number $n$ , let $fin (a)$ and $B_{n} (a)$ b…

On ordering of surjective cardinals

A note on surjective cardinals

Boundedly finite-to-one functions

The finitary partitions with n non-singleton blocks of a set

The finitary partitions with $n$ non-singleton blocks of a set