Abstract
1. Descriptive set theory 2 1.1. Spaces of continua 2 1.2. Descriptive set theoretic hierarchies 3 1.3. Descriptive set theory and binary relations 4 2. Sets of continua 6 2.1. Decomposability and Baire category arguments 6 2.2. Hereditarily decomposable continua and generalizations of Darji’s argument 7 2.3. Continua with strong forms of connectedness 8 2.4. Simply connected continua 9 2.5. Continua which do not contain subcontinua of a certain kind 11 2.6. More results by Krupski 12 2.7. Curves 13 2.8. Retracts 15 2.9. σ-ideals of continua 16 3. Binary relations between continua 16 3.1. Homeomorphism 16 3.2. Continuous embeddability 17 3.3. Continuous surjections 17 3.4. Likeness and quasi-homeomorphism 18 3.5. Some homeomorphism and quasi-homeomorphism classes 19 3.6. Isometry and Lipschitz isomorphism 20 References 20
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