# On subprojectivity of $C(K,X)$

## TL;DR

This paper proves that the space of continuous functions from a scattered compact space to a subprojective Banach space retains the subprojectivity property.

## Contribution

It establishes that $C(K,X)$ is subprojective when $K$ is scattered and $X$ is subprojective, extending known properties of Banach spaces.

## Key findings

- $C(K,X)$ is subprojective if $K$ is scattered and $X$ is subprojective
- Subprojectivity is preserved under these conditions
- The result broadens understanding of structure in Banach space theory

## Abstract

We show that the Banach space $C(K,X)$ is subprojective if $K$ is scattered and $X$ is subprojective.