Applications of Category Theory to Fuzzy Subsets

I: Topos-like and Model-Theoretic Approaches -- 1: Classification of Extremal Subobjects of Algebras over SM-SET -- 2: M-valued Sets and Sheaves over Integral Commutative CL-Monoids -- 3: The Logic of Unbalanced Subobjects in a Category with Two Closed Structures -- II: Categorical Methods in Topology -- 4: Fuzzy Filter Functors and Convergence -- 5: Convenient Topological Constructs -- 6: A Topological Universe Extension of FTS -- 7: Categorical Frameworks for Stone Representation Theories -- III: Applications and Related Topics in Logic and Topology -- 8: Pointless Metric Spaces and Fuzzy Spaces -- 9: Fuzzy Unit Interval and Fuzzy Paths -- 10: Lattice Morphisms, Sobriety, and Urysohn Lemmas -- 11: The Topological Modification of the L-Fuzzy Unit Interval -- 12: A Categorical Approach to Fuzzy Relational Database Theory -- 13: Fuzzy Points and Membership -- Appendices -- Index of Categories -- Addenda et Corrigenda.