Geometric topology | Triangulation (geometry) | Structures on manifolds | Topology | Algebraic topology

Triangulation (topology)

In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex. Spaces being homeomorphic to a simplicial complex are called triangulable. Triangulation has various uses in different branches of mathematics, for instance in algebraic topology, in complex analysis or in modeling. (Wikipedia).

Triangulation (topology)
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Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

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Projection of One Vector onto Another Vector

Link: https://www.geogebra.org/m/wjG2RjjZ

From playlist Trigonometry: Dynamic Interactives!

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Images in Math - Polygon Triangulations

This video is about triangulations of polygons.

From playlist Images in Math

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Trigonometry 4 The Area of a Triangle

Various ways of using trigonometry to determine the area of a triangle.

From playlist Trigonometry

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Open Middle: Creating Trig Equations (Demo)

#OpenMiddle tasks serve as GREAT formative & summative items during this unfortunate time of more remote & hybrid learning. COVID or NO COVID, better for Ss to wrestle & reason with creating vs. giving them a set of Qs they’ll just quickly Google or PhotoMath. Here, an entire compilation

From playlist Trigonometry: Dynamic Interactives!

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Evaluating Trigonometric Functions of Angles Given a Point on its Terminal Ray

Math Ts: SAVE TIME & have your Trigonometry Ss (formatively) assess their own work! After solving a problem or 2 (like this), send them here: https://www.geogebra.org/m/hK5QfXah .

From playlist Trigonometry: Dynamic Interactives!

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Trigonometry 8 The Tangent and Cotangent of the Sum and Difference of Two Angles.mov

Derive the tangent and cotangent trigonometric identities.

From playlist Trigonometry

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Timothy Gowers on the works of John Milnor

Sir William Timothy Gowers is a British mathematician and a Royal Society Research Professor at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. This video is a clip from the Abel Prize Announcement 2011.

From playlist Popular presentations

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[BOURBAKI 2019] Manolescu’s work on the triangulation conjecture - Stipsicz - 15/06/19

András STIPSICZ Manolescu’s work on the triangulation conjecture The triangulation conjecture (asking whether a manifold is necessarily a simplicial complex) has been recently resolved in the negative by Ciprian Manolescu. His proof is based on work of Galweski–Stern and Matumoto, reduci

From playlist BOURBAKI - 2019

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Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds

Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Periodic Foams and Manifolds - Frank Lutz

Frank Lutz Technische Universitat Berlin March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu

From playlist Mathematics

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Jessica Purcell: Triangulations, geometry and knots

In this research profile, upcoming SMRI visitor Jessica Purcell describes the open questions in the study of 3-manifolds and how her fascination with mathematical knots began. Jessica Purcell is a Professor in the School of Mathematical Sciences and Associate Dean of Research (Faculty of

From playlist SMRI Interviews

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Edward Witten: "What's (Relatively) New in Two-Dimensional Gravity”

Green Family Lecture Series 2017 "What's (Relatively) New in Two-Dimensional Gravity” Edward Witten, Institute for Advanced Study Abstract: The talk will be devoted to explaining two relatively recent mathematical developments involving what physicists know as topological gravity in two

From playlist Public Lectures

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Homology cobordism and triangulations – Ciprian Manolescu – ICM2018

Geometry | Topology Invited Lecture 5.5 | 6.1 Homology cobordism and triangulations Ciprian Manolescu Abstract: The study of triangulations on manifolds is closely related to understanding the three-dimensional homology cobordism group. We review here what is known about this group, with

From playlist Geometry

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Hyperbolic Knot Theory (Lecture - 2) by Abhijit Champanerkar

PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl

From playlist Knots Through Web (Online)

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Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra

CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p

From playlist Computational & Algorithmic Topology (CATS 2021)

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Tejas Kalelkar: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations

Tejas Kalelkar, Indian Institute of Science Education and Research Pune Title: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations Abstract: A geometric triangulation of a Riemannian manifold is a triangulation by totally geodesic simplexes. Any two triangulat

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Related pages

Topological manifold | Topological space | Graph (discrete mathematics) | Homeomorphism | Hassler Whitney | Subanalytic set | Topology | Suspension (topology) | Cohomology | Piecewise linear manifold | Neighbourhood (graph theory) | L. E. J. Brouwer | Hans Freudenthal | PDIFF | Hauptvermutung | Differentiable manifold | Triangulation (geometry) | Clique (graph theory) | Submanifold | Homology (mathematics) | Cycle graph | Mathematics | Diffeomorphism | E8 manifold | Embedding | Clique complex | Smooth structure | Manifold | Double suspension theorem | Edwin E. Moise | Simplicial complex | Surface (topology) | Triangle | Whitney embedding theorem