Results of an MCMC on the Betti numbers measured in the KV450-like SLICS. The contours represent the 1- and 2-σ posterior contours for an analysis with non-persistent (grey) and persistent (blue) Betti functions. For comparison, the red contours represent the posterior of an analysis with peak statistics, as done in M+18. The values on top of the diagonals represent the marginalised posterior for the persistent Betti functions b^per. The fiducial parameters of SLICS are represented by the black lines. We conducted our analysis with Ω_m, σ₈, h and w₀ as free parameters and employed flat priors with Ω_m ∈ [0.1, 0.6], S₈ ∈ [0.6, 1.0], h ∈ [0.5, 0.9], w₀ ∈ [ − 1.8, −0.2]. The green lines correspond to the 1- and 2-σ posterior contours of a cosmological parameter analysis of the KiDS450-survey using tomographic two-point correlation functions, where the covariance matrix was extracted from SLICS and systematics were disregarded (see the ‘N-body’ setup in Table 4 of Hildebrandt et al. 2017). Since the setup of that analysis is very similar to ours, they can be used to compare the relative sizes (but not locations) of contours. We note that this parameter analysis was done in a ΛCDM-framework on KiDS data, whereas our analysis is done in a wCDM framework on mock data.