Lecture Notes on Relations and Functions
نویسنده
چکیده
1. Relations 1 1.1. The idea of a relation 1 1.2. The formal definition of a relation 2 1.3. Basic terminology and further examples 2 1.4. Properties of relations 4 1.5. Partitions and Equivalence Relations 6 1.6. Examples of equivalence relations 7 1.7. Extra: composition of relations 8 2. Functions 9 2.1. The set of all functions from X to Y 10 2.2. Injective functions 10 2.3. Surjective functions 13 2.4. Bijective functions 13 2.5. Composition of functions 14 2.6. Basic facts about injectivity, surjectivity and composition 15 2.7. Inverse Functions 16
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