Positive Topology

Positive Topology

A New Practice in Constructive Mathematics

Sambin, Giovanni

Oxford University Press

05/2025

624

Dura

Inglês

9780199232888

Pré-lançamento - envio 15 a 20 dias após a sua edição

3

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Preface
About This Book
1: Dynamic Constructivism: A New Conception of Mathematics
2: The Minimalist Foundation: Basic Notions and Tools
3: Basic Pairs: Symmetry and Duality in Topology
4: Relation-Pairs: Continuity is a Commutative Square
5: Concrete Spaces: Benefits of Keeping a Base
6: Convergent Relation-Pairs: Towards Topology With Points
7: Basic Topologies: Pointfree Topology Without Convergence
8: Continuous Relations: Respecting Covers and Positivities
9: Positive Topologies and Formal Maps: Pointfree Topology
10: Ideal Spaces and Maps: Ideal Aspects Over Real Topology
11: Topological Systems: a Place for all Topological Notions
12: Overlap Algebras: the Power of a Set as an Algebra
13: Overlap Topologies: Putting Topology in Algebraic Terms
Appendix A: Generating Positivity By Co-induction
References
Index
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