Note that there is no CategoryRepository, but there is a CategoryListInterface that you can use in conjunction with a SearchCriteriaInterface
Something like this should work:
/** @var \Magento\Catalog\Api\CategoryListInterface */ protected $categoryList; /** @var \Magento\Framework\Api\SearchCriteriaBuilder */ protected $searchCriteriaBuilder; /** * Constructor * * @param \Magento\Backend\App\Action\Context $context * @param \Magento\Framework\View\Result\PageFactory $resultPageFactory */ public function __construct( \Magento\Backend\App\Action\Context $context, \Magento\Catalog\Api\CategoryListInterface $categoryList, \Magento\Framework\Api\SearchCriteriaBuilder $searchCriteriaBuilder ) { parent::__construct($context); $this->categoryList = $categoryList; $this->searchCriteriaBuilder = $searchCriteriaBuilder; } /** * Redirect back to cadmart core * * @return \Magento\Framework\View\Result\Page */ public function execute(){ $criteria = $this->searchCriteriaBuilder->addFilter('level', 3); $searchResult = $this->categoryList->getList($criteria); foreach ($searchResult->getItems() as $category) { echo($category->getName()); } }