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Coequalisers of formal topology Palmgren, Erik Formal topology type theory We give a predicative construction of quotients of formal topologies. Along with earlier results on the match up between of continuous functions on real numbers (in the sense of Bishop's constructive mathematics) and approximable mappings on the formal space of reals, we argue that formal topology gives an adequate foundation for constructive algebraic topology, also in the predicative sense. Predicativity is of essence when formalising the subject in logical frameworks based on Martin-Löf type theories. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Erik Palmgren 2006 Is Part Of Dagstuhl Seminar Proceedings, Volume 5021, Mathematics, Algorithms, Proofs (2006) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.05021.8 urn:nbn:de:0030-drops-4361 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05021.8 eng https://creativecommons.org/licenses/by/4.0/legalcode