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2. Cone (algebraic geometry) - Wikipedia

   en.wikipedia.org/wiki/Cone_(algebraic_geometry)

   More generally, given a vector bundle (finite-rank locally free sheaf) E on X, if R=Sym(E *) is the symmetric algebra generated by the dual of E, then the cone ⁡ is the total space of E, often written just as E, and the projective cone ⁡ is the projective bundle of E, which is written as ().

3. Cone (category theory) - Wikipedia

   en.wikipedia.org/wiki/Cone_(category_theory)

   That is, cones through which all other cones factor. A cone φ from L to F is a universal cone if for any other cone ψ from N to F there is a unique morphism from ψ to φ. Equivalently, a universal cone to F is a universal morphism from Δ to F (thought of as an object in C J), or a terminal object in (Δ ↓ F).

4. Convex cone - Wikipedia

   en.wikipedia.org/wiki/Convex_cone

   A subset of a vector space over an ordered field is a cone (or sometimes called a linear cone) if for each in and positive scalar in , the product is in . [2] Note that some authors define cone with the scalar α {\displaystyle \alpha } ranging over all non-negative scalars (rather than all positive scalars, which does not include 0). [ 3 ]

5. Mapping cylinder - Wikipedia

   en.wikipedia.org/wiki/Mapping_cylinder

   In mathematics, specifically algebraic topology, the mapping cylinder [1] of a continuous function between topological spaces and is the quotient = (([,])) / where the denotes the disjoint union, and ~ is the equivalence relation generated by

6. Cone - Wikipedia

   en.wikipedia.org/wiki/Cone

   A right circular cone and an oblique circular cone A double cone (not shown infinitely extended) 3D model of a cone. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex that is not contained in the base.

7. Symmetric cone - Wikipedia

   en.wikipedia.org/wiki/Symmetric_cone

   The Jordan algebras H 2 (R), H 2 (C), H 2 (H) and H 2 (O) are isomorphic to spin factors V ⊕ R where V has dimension 2, 3, 5 and 9, respectively: that is, one more than the dimension of the relevant division algebra.