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#Topological Spaces

Showing: 14 courses
Institute for Advanced Study

Floer Homology with DG Coefficients - Applications to Cotangent Bundles

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Explore Floer homology with DG coefficients and its applications to cotangent bundles. Gain insights into symplectic geometry and dynamical systems through advanced mathematical concepts.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Friedrich–Alexander University Erlangen–Nürnberg

Geometrical Anatomy of Theoretical Physics

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Comprehensive exploration of advanced mathematical concepts in theoretical physics, from set theory to Lie groups, manifolds, and fiber bundles, with applications in quantum mechanics and symmetries.
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28 Lesons
1 day 23 hours
On-Demand
Free-Video
Models of Consciousness Conferences

Sketches of a Mathematical Theory of Qualia

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Exploración matemática de los qualia: definición, estructura y relación con la teoría cuántica. Propone un modelo de conciencia basado en principios abstractos del comportamiento de dispositivos que detectan qualia.
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22 Lesons
20 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Simplicial Neural Networks

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Explore simplicial neural networks, a generalization of graph neural networks for multi-dimensional data, and their applications in imputing missing data on coauthorship complexes.
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10 Lesons
52 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Antonio Rieser - Algebraic Topology for Graphs and Mesoscopic Spaces

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Explore algebraic topology for graphs and mesoscopic spaces, covering homotopy, homology, and metric cohomology. Learn about pseudotopological spaces and their applications in various mathematical categories.
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1 Lesons
54 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Wanted- Topologists for Autonomous Robots Community

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Exploring topological complexity in robotics: from path planning to task spaces. Insights into rigorous formulations for robotic autonomy, emphasizing environment topology and combinatorics in cooperative motion.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

A Counter-Example to Hausmann's Conjecture

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Explore a counter-example to Hausmann's conjecture on Vietoris-Rips complexes, challenging long-held beliefs in algebraic topology using persistent homology.
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1 Lesons
53 minutes
On-Demand
Free-Video
ICTP Mathematics

Topology - Lecture 2

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Explore fundamental concepts of topology, including topological spaces, continuity, and homeomorphisms, with a focus on mathematical rigor and abstract reasoning.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
ICTP Mathematics

Topology - Lecture 3

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Explore fundamental concepts of topology, including continuous functions, homeomorphisms, and topological properties, in this advanced mathematics lecture.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Insights into Mathematics

Topological Spaces and Manifolds - Differential Geometry Lecture 24

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Explore topological spaces and manifolds through neighborhood systems and open sets. Learn key concepts, solve problems, and understand the foundations of continuous space theory in modern mathematics.
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7 Lesons
50 minutes
On-Demand
Free-Video
Insights into Mathematics

Introduction to Homology in Algebraic Topology - Part 2

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Explores cycles, boundaries, and homology in algebraic topology, focusing on graph modifications and using commutative group theory to analyze formal combinations of geometric elements.
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1 Lesons
41 minutes
On-Demand
Free-Video
BIMSA

A Morse Model for Stable Homotopy - ICBS 2024

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Explore stable homotopy groups, framed bordism, and Morse theory in topological spaces. Gain insights into Floer homotopy foundations and the Pontryagin-Thom construction.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Math Sorcerer

Introduction to Counterexamples in Topology - Strange Topological Spaces

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Explore the fascinating world of topology through unique and peculiar topological spaces, understanding fundamental concepts and counterexamples in mathematical theory.
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1 Lesons
11 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Homotopy and Singular Homology Groups of Finite Digraphs

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Explore advanced algebraic topology concepts through the computation of homotopy and singular homology groups in finite directed graphs, with applications in data analysis and network science.
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1 Lesons
48 minutes
On-Demand
Free-Video