Research profile
Anthony Bosman
Author of work recommended on this site.
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Why people read this work
On the reading lists
What this site's guides and courses recommend by Anthony Bosman, and why. Each opens its Library entry.
- A good place to startVideoAlgebraic Topology 0: Cell Complexes
Gluing diagrams for the torus and the two-holed torus, products, quotients and wedges.
Recommended in Guidebook 7A.1: Topological Spaces and Quotients · Guidebook 7A.6: CW Complexes and Cellular Approximation
- VideoAlgebraic Topology 17: Degree and Cellular Homology
The degree of a map between spheres.
Recommended in Guidebook 7A.8: Smooth Topology · Guidebook 10A.4: Homotopy Groups, Degree and the Hurewicz Theorem
- VideoAlgebraic Topology 1: Homotopy Equivalence
Homotopy equivalence, the notion of sameness that cellular methods respect.
Recommended in Guidebook 7A.6: CW Complexes and Cellular Approximation
- VideoAlgebraic Topology 10: Simplicial Homology
Simplicial homology, the first computable version.
Recommended in Guidebook 7A.9: Homology in Brief
- VideoAlgebraic Topology 11: What is homology measuring?
What homology detects, and what it misses.
Recommended in Guidebook 7A.9: Homology in Brief
- VideoAlgebraic Topology 12: Intro to Singular Homology
Singular chains and singular homology.
Recommended in Guidebook 7A.10: Singular Homology and Mayer–Vietoris
- VideoAlgebraic Topology 14: Exact Sequences & Homology of Spheres
Long exact sequences and the homology of spheres.
Recommended in Guidebook 7A.10: Singular Homology and Mayer–Vietoris
- VideoAlgebraic Topology 15: Exact Sequence of Homology and Excision
The long exact sequence of a pair, and excision.
Recommended in Guidebook 7A.10: Singular Homology and Mayer–Vietoris
- VideoAlgebraic Topology 18: Mayer-Vietoris
The Mayer–Vietoris sequence.
Recommended in Guidebook 7A.10: Singular Homology and Mayer–Vietoris
- VideoAlgebraic Topology 2: Introduction to Fundamental Group
Loops up to homotopy, and the fundamental group.
Recommended in Guidebook 7A.4: The Fundamental Group
- VideoAlgebraic Topology 20: Introduction to Cohomology
Cochains and cohomology.
Recommended in Guidebook 7A.11: Cohomology and Poincaré Duality
- VideoAlgebraic Topology 21: Cup Product
The cup product, which makes cohomology a ring.
Recommended in Guidebook 7A.11: Cohomology and Poincaré Duality
- VideoAlgebraic Topology 22: Cup Product of Torus & Klein Bottle
Cup products computed for the torus and the Klein bottle.
Recommended in Guidebook 7A.11: Cohomology and Poincaré Duality
- VideoAlgebraic Topology 3: Fundamental Group is a Group!
Why concatenation of loops gives a group.
Recommended in Guidebook 7A.4: The Fundamental Group
- VideoAlgebraic Topology 4: Brouwer Fixed Point Theorem & Borsuk-Ulam
Brouwer and Borsuk–Ulam.
Recommended in Guidebook 7A.4: The Fundamental Group
- VideoAlgebraic Topology 5: Homeomorphic Spaces have Isomorphic Fundamental Groups
Why π₁ is a topological invariant.
Recommended in Guidebook 7A.5: Computing π₁
- VideoAlgebraic Topology 6: Seifert-Van Kampen Theorem
Computing π₁ by cutting a space into pieces.
Recommended in Guidebook 7A.5: Computing π₁
- VideoAlgebraic Topology 7: Covering Spaces
Covering spaces and the lifting of paths.
Recommended in Guidebook 7A.7: Covering Spaces
- VideoAlgebraic Topology 8: Properties of Covering Spaces
Path and homotopy lifting, why the induced map on π₁ is injective, and the universal cover.
Recommended in Guidebook 7A.7: Covering Spaces
- VideoAlgebraic Topology 9: Deck Transformations of Covering Spaces
Deck transformations, and the deck group of a normal cover as a quotient of fundamental groups.
Recommended in Guidebook 7A.7: Covering Spaces
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NP-RC-590633 is Anthony Bosman's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.