
Even sparse high dimensional expanders may fail to satisfy 1% agreement theorems due to the presence of connected topological covers. However, a weaker agreement theorem can still be obtained by taking the cover structure into account.


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agreement-theorems-for-high-dimensional-expanders-in-the-low-acceptance-regime-the-role-of-topological-covers


Agreement Theorems for High Dimensional Expanders in the Low Acceptance Regime: The Role of Topological Covers
