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Thus, it is of fundamental importance to perform observational tests of this principle.<\/jats:p><jats:p><jats:italic>Aims.<\/jats:italic>We determine the precision with which future surveys will be able to test the Copernican principle and their ability to detect any possible violations.<\/jats:p><jats:p><jats:italic>Methods.<\/jats:italic>We forecast constraints on the inhomogeneous Lema\u00eetre-Tolman-Bondi (LTB) model with a cosmological constant \u039b, basically a cosmological constant \u039b and cold dark matter (CDM) model but endowed with a spherical inhomogeneity. We consider combinations of currently available data and simulated<jats:italic>Euclid<\/jats:italic>data, together with external data products, based on both \u039bCDM and \u039bLTB fiducial models. These constraints are compared to the expectations from the Copernican principle.<\/jats:p><jats:p><jats:italic>Results.<\/jats:italic>When considering the \u039bCDM fiducial model, we find that<jats:italic>Euclid<\/jats:italic>data, in combination with other current and forthcoming surveys, will improve the constraints on the Copernican principle by about 30%, with \u00b110% variations depending on the observables and scales considered. On the other hand, when considering a \u039bLTB fiducial model, we find that future<jats:italic>Euclid<\/jats:italic>data, combined with other current and forthcoming datasets, will be able to detect gigaparsec-scale inhomogeneities of contrast \u22120.1.<\/jats:p><jats:p><jats:italic>Conclusions.<\/jats:italic>Next-generation surveys, such as<jats:italic>Euclid<\/jats:italic>, will thoroughly test homogeneity at large scales, tightening the constraints on possible violations of the Copernican principle.<\/jats:p>","DOI":"10.1051\/0004-6361\/202244557","type":"journal-article","created":{"date-parts":[[2022,10,12]],"date-time":"2022-10-12T08:01:18Z","timestamp":1665561678000},"page":"A68","source":"Crossref","is-referenced-by-count":8,"title":["<i>Euclid<\/i>: Testing the Copernican principle with next-generation surveys"],"prefix":"10.1051","volume":"671","author":[{"given":"D.","family":"Camarena","sequence":"first","affiliation":[]},{"given":"V.","family":"Marra","sequence":"additional","affiliation":[]},{"given":"Z.","family":"Sakr","sequence":"additional","affiliation":[]},{"given":"S.","family":"Nesseris","sequence":"additional","affiliation":[]},{"given":"A.","family":"Da Silva","sequence":"additional","affiliation":[]},{"given":"J.","family":"Garcia-Bellido","sequence":"additional","affiliation":[]},{"given":"P.","family":"Fleury","sequence":"additional","affiliation":[]},{"given":"L.","family":"Lombriser","sequence":"additional","affiliation":[]},{"given":"M.","family":"Martinelli","sequence":"additional","affiliation":[]},{"given":"C. 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