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June 3, 2021 15:44
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\linkvideo{spring2021-intro:why-cat-theory} % Why category theory? | |
\linkvideo{spring2021-intro:composition} % Composition | |
\linkvideo{spring2021-semi-mon-gro:summary} % Summary | |
\linkvideo{spring2021-morphisms:functions-nomenclature} % Functions nomenclature | |
\linkvideo{spring2021-morphisms:morphisms} % Morphisms | |
\linkvideo{spring2021-morphisms:morphisms:semigroup-morphisms} % Semigroup morphisms | |
\linkvideo{spring2021-morphisms:morphisms:semigroup-morphisms:semigroup-isomorphisms} % Semigroup isomorphisms | |
\linkvideo{spring2021-morphisms:morphisms:semigroup-morphisms:ascii} % ASCII encoding | |
\linkvideo{spring2021-morphisms:morphisms:semigroup-morphisms:morse} % Morse encoding | |
\linkvideo{spring2021-morphisms:morphisms:monoid-morphisms} % Monoid morphisms | |
\linkvideo{spring2021-morphisms:morphisms:group-morphisms} % Group morphisms | |
\linkvideo{spring2021-semicats-cats:intro_semi_cat} % Introduction for Semicategories and Categories | |
\linkvideo{spring2021-semicats-cats:semicats} % Semicategories | |
\linkvideo{spring2021-semicats-cats:categories} % Categories | |
\linkvideo{spring2021-semicats-cats:summary} % Summary | |
\linkvideo{spring2021-relations:relations} % Relations | |
\linkvideo{spring2021-relations:relations:distr-networks} % Distribution networks | |
\linkvideo{spring2021-relations:relations:rel-def} % Definition of relation | |
\linkvideo{spring2021-relations:relations:comp-rel} % Composing relations | |
\linkvideo{spring2021-relations:relations:cat-rel} % Category of relations | |
\linkvideo{spring2021-relations:relations:fun-rel} % Functions and relations | |
\linkvideo{spring2021-relations:relations:prop-rel} % Properties of relations | |
\linkvideo{spring2021-relations:relations:trans-rel} % Transposition of relations | |
\linkvideo{spring2021-relations:relations:endorel} % Endorelations | |
\linkvideo{spring2021-relations:relations:equivalence-rel} % Equivalence relations | |
\linkvideo{spring2021-actions:matrix-groups} % Matrix groups | |
\linkvideo{spring2021-actions:semi-actions} % Semigroup actions | |
\linkvideo{spring2021-actions:semi-actions:processes} % Signals and processes | |
\linkvideo{spring2021-actions:semi-actions:processes:moore} % Moore machines | |
\linkvideo{spring2021-actions:semi-actions:processes:more} % More machines | |
\linkvideo{spring2021-actions:semi-cat-actions} % Semi-category action | |
\linkvideo{spring2021-tradeoffs:logic-notation} % Logic Notation | |
\linkvideo{spring2021-tradeoffs:sequent-notation} % Sequent Notation | |
\linkvideo{spring2021-tradeoffs:relations-properties} % Recap of relations | |
\linkvideo{spring2021-tradeoffs:tradeoffs} % Trade-offs | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders} % Orders | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:pre-pos-tot} % Pre-orders, partial orders, and total orders | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:general-pref} % More general preference structures | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:preorder-as-cat} % Pre-order as a category | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:preorder-poset} % The skeleton of a pre-order is a poset | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:hasse} % Hasse diagrams | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:counting-orders} % Counting orders | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:top-bottom} % Top and bottom | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:set-based-filtering} % Set-based filtering | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:interval-poset} % Poset of intervals | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:composing-posets} % Composing posets | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:composing-posets:product-poset} % Product of posets | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:composing-posets:disj-poset} % Disjoint union of posets | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:up-low-bounds} % Upper and lower bounds | |
\linkvideo{spring2021-tradeoffs:tradeoffs:orders:lattices} % Lattices | |
\linkvideo{spring2021-products:products} % Products | |
\linkvideo{spring2021-products:products:cart-prod} % Cartesian product | |
\linkvideo{spring2021-products:products:cat-prod} % Categorical product | |
\linkvideo{spring2021-products:products:cat-prod:example-prod} % Examples of products | |
\linkvideo{spring2021-products:products:cat-prod:def-prof} % Definition of categorical product | |
\linkvideo{spring2021-coproducts:coproducts} % Coproducts | |
\linkvideo{spring2021-coproducts:coproducts:coprod-intro-ex} % Introductory examples of coproduct | |
\linkvideo{spring2021-coproducts:coproducts:cat-prod} % Categorical coproduct | |
\linkvideo{spring2021-coproducts:coproducts:batt-coproduct} % Extended coproduct example | |
\linkvideo{spring2021-functors:bigpic} % Big picture, zipping | |
\linkvideo{spring2021-functors:semi-and-fun} % Semifunctors and functors | |
\linkvideo{spring2021-functors:semi-and-fun:semi-fun-def} % Definition of semi-functor | |
\linkvideo{spring2021-functors:semi-and-fun:fun-def} % Definition of functor | |
\linkvideo{spring2021-functors:semi-and-fun:ex-semigroup-semifun} % Semigroup morphisms as semi-functors | |
\linkvideo{spring2021-functors:semi-and-fun:ex-semicat-act-fun} % Semi-category actions as functors | |
\linkvideo{spring2021-functors:semi-and-fun:mon-functions} % Monotone functions | |
\linkvideo{spring2021-functors:semi-and-fun:mon-functions:fun-req-mon} % Functionalities and requirements | |
\linkvideo{spring2021-functors:semi-and-fun:mon-functions:mon-on-pos} % Monotone functions on posets | |
\linkvideo{spring2021-functors:semi-and-fun:mon-functions:mon-fun-as-func} % Monotone functions as functors | |
\linkvideo{spring2021-functors:semi-and-fun:cat-of-cat} % A category of categories | |
\linkvideo{spring2021-functors:semi-and-fun:forgetful-fun} % Forgetful functors | |
\linkvideo{spring2021-functors:semi-and-fun:embedding-fun} % Embedding functors | |
\linkvideo{spring2021-nat-trafos:diagrams} % Diagrams | |
\linkvideo{spring2021-nat-trafos:natural-trafos} % Natural transformations | |
\linkvideo{spring2021-nat-trafos:natural-trafos:nat-trafo-def} % Definition of natural transformation | |
\linkvideo{spring2021-nat-trafos:natural-trafos:double-dual} % Double dual | |
\linkvideo{spring2021-nat-trafos:natural-trafos:eq-maps-gr-actions} % Equivariant maps between group actions | |
\linkvideo{spring2021-nat-trafos:natural-trafos:rel-mon-maps} % Relating monotone maps | |
\linkvideo{spring2021-nat-trafos:natural-trafos:nattrafos-as-mor} % Natural transformations are morphisms between functors | |
\linkvideo{spring2021-nat-trafos:natural-trafos:horizontal-composition} % Horizontal composition | |
\linkvideo{spring2021-nat-trafos:natural-trafos:interchange-law} % Interchange law | |
\linkvideo{spring2021-nat-trafos:natural-trafos:bicategories} % Bicategories | |
\linkvideo{spring2021-par-feedback:mon-cat} % Monoidal categories | |
\linkvideo{spring2021-par-feedback:mon-cat:mon-pos} % Monoidal posets | |
\linkvideo{spring2021-par-feedback:mon-cat:mon-cat-def} % Definition of monoidal categories | |
\linkvideo{spring2021-par-feedback:mon-cat:string-diag} % String diagrams | |
\linkvideo{spring2021-par-feedback:braided-moncat} % Braided monoidal categories | |
\linkvideo{spring2021-par-feedback:symmetric-moncat} % Symmetric monoidal categories | |
\linkvideo{spring2021-par-feedback:dualizability} % Dualizability | |
\linkvideo{spring2021-par-feedback:feedback} % Feedback | |
\linkvideo{spring2021-design:up-low-sets} % Upper and lower sets | |
\linkvideo{spring2021-design:up-low-closure} % Upper and lower closure | |
\linkvideo{spring2021-design:design} % Design | |
\linkvideo{spring2021-design:design:def-design} % What is design? | |
\linkvideo{spring2021-design:design:abstract-view-dp} % An abstract view of design problems | |
\linkvideo{spring2021-design:design:dpi-def} % Design problems with implementation (DPIs) | |
\linkvideo{spring2021-design:design:dpi-comp} % Composing DPIs | |
\linkvideo{spring2021-design:design:dpi-semicat} % Semi-category DPI | |
\linkvideo{spring2021-design:design:queries} % Design queries | |
\linkvideo{spring2021-design:design:from-dpi-to-dp} % From DPI to DP | |
\linkvideo{spring2021-design:design:bool-prof} % Boolean profunctors | |
\linkvideo{spring2021-functorial-comp-a:solving-queries} % Solving DP queries | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:solving-series} % Series composition | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:solving-parallel} % Parallel composition | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:solving-loop} % Loop composition | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:multi-loop} % Canonical form | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:complexity} % Complexity | |
\linkvideo{spring2021-functorial-comp-a:solving-queries:or-and-and} % Join and Meet in DP |
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