This introduction to topos theory examines local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. 1988 edition.
This introduction to topos theory examines local set theories, fundamental properties of toposes, sheaves, locale-valued sets, and natural and real numbers in local set theories. 1988 edition.
J. L. Bell is a Professor at the University of Western Ontario and co-author of Dover's Models and Ultraproducts.
Inhaltsangabe
1. Elements of category theory 2. Introducing toposes 3. Local set theories 4. Fundamental properties of toposes 5. From logic to sheaves 6. Locale-valued sets 7. Natural numbers and real numbers 8. Epilogue: the wider significance of topos theory Appendix: Geometric theories and classifying toposes Historical and bibliographical notes References Index of symbols Index of terms
1. Elements of category theory 2. Introducing toposes 3. Local set theories 4. Fundamental properties of toposes 5. From logic to sheaves 6. Locale-valued sets 7. Natural numbers and real numbers 8. Epilogue: the wider significance of topos theory Appendix: Geometric theories and classifying toposes Historical and bibliographical notes References Index of symbols Index of terms
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