1 INTRODUCTION

2 THE X-CLASS CATALOGUE
2.1 Pre-selection of the XMM archival data
2.2 Data processing and cluster detection
2.3 Catalogue construction
2.4 Count-rate measurements in multiple bands

3 THE X-CLASS SURVEY SELECTION FUNCTION
3.1 The cosmological subsample
3.2 Description of the simulations
3.3 Analysis of the simulations - selection criteria
3.4 The survey geometrical area
3.5 Correcting for the target bias in the XMM archive

4 THE COSMOLOGICAL ANALYSIS
4.1 Sample CR–HR distribution
4.2 Modelling the CR-HR distribution of sources
4.3 Likelihood and MCMC sampling method

5 RESULTS
5.1 Fixed cosmology, fixed local scaling laws
5.2 Free Ωm and σ8, fixed local scaling law

6 DISCUSSION
6.1 Cosmological parameters
6.2 Cluster X-ray profiles
6.3 Scaling-laws evolution
6.4 CR–HR outliers
6.5 Predictions for eRosita

7 CONCLUSIONS AND PERSPECTIVES