Spice the Bird

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Name	Spice the Bird
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If $X$ is a simplicial complex, is their a characterization of the links of the vertices of $X$ that is equivalent to the statement "$|X|$ is a manifold

dec 22 at 1:02 Agol 23.9k●1●33●84

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781

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Is the following invariant of rooted trees a complete invariant?

graph-theory enumerative-combinatorics

sep 28 at 18:41 F. C. 412●3●6

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217

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What is the precise relationship between “prodsimplicial sets” and rooted trees?

at.algebraic-topology simplicial-stuff ct.category-theory

may 23 at 5:40 some guy on the street 1,543●4●12

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474

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What is the homotopy type of the space of the homeomorphisms of the n-ball such that the homeomorphism restricted to the boundary is isotopic to the identity?

gt.geometric-topology homotopy-theory reference-request

nov 10 at 4:06 Spice the Bird 940●3●14

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394

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A subcategory of top where subspaces and subobjects coincide?

gn.general-topology ct.category-theory

jun 23 11 at 11:10 Alex Simpson 379●1●9

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143

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What propositions about sets can be transfered to propositions about a presheaf category?

ct.category-theory lo.logic

mar 7 12 at 2:18 Spice the Bird 940●3●14

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417

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What is the intuition of connections for cubical sets?

ct.category-theory higher-category-theory intuition

nov 29 11 at 21:45 Dany Majard 93●5

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321

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What is the chromatic number of the graph whose vertices dimension $n-2$ subsimplicies of $\Delta^n$ and an edge between two vertices is given if the two associated $n-2$ vertices are contained in the same $n-1$ subsimplex?

simplicial-stuff graph-theory graph-colorings

jan 30 12 at 14:42 Richard Stanley 13.3k●2●60●94

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251

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Is it possible to define the notion of a localization of a category without reference to a set of morphisms, $S$?

ct.category-theory localization

apr 6 12 at 8:54 Martin Brandenburg 29.1k●2●45●129

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227

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Does each “prod-simplicial” regular cell complex come from a unique rooted tree?

graph-theory simplicial-stuff

nov 16 at 7:24 Spice the Bird 940●3●14

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Examples where it’s useful to know that a mathematical object belongs to some family of objects

Fundamental problems whose solution seems completely out of reach

Why study simplicial homotopy groups?

When and where did the term “module” enter commutative algebra?

Why is the the classifying space of the natural numbers homotopy equivalent to the circle?

The concept of Duality

Expressing Galois actions on fundamental groups explicitly

What is the best way to study Rational Homotopy Theory

Best online mathematics videos?

Can skeleta simplify category theory?

Are integers real?

Does each “prod-simplicial” regular cell complex come from a unique rooted tree?

Classifying space of large category?

Classes of metric spaces with additional structure

Does pi contain 1000 consecutive zeroes (in base 10)?

Are there examples of non-orientable manifolds in nature?

Geometric intuition for limits

The main theorems of category theory and their applications

Examples of Simplicial Groupoids in Nature

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Questions

If $X$ is a simplicial complex, is their a characterization of the links of the vertices of $X$ that is equivalent to the statement "$|X|$ is a manifold

Is the following invariant of rooted trees a complete invariant?

What is the precise relationship between “prodsimplicial sets” and rooted trees?

What is the homotopy type of the space of the homeomorphisms of the n-ball such that the homeomorphism restricted to the boundary is isotopic to the identity?

A subcategory of top where subspaces and subobjects coincide?

What propositions about sets can be transfered to propositions about a presheaf category?

What is the intuition of connections for cubical sets?

What is the chromatic number of the graph whose vertices dimension $n-2$ subsimplicies of $\Delta^n$ and an edge between two vertices is given if the two associated $n-2$ vertices are contained in the same $n-1$ subsimplex?

Is it possible to define the notion of a localization of a category without reference to a set of morphisms, $S$?

Does each “prod-simplicial” regular cell complex come from a unique rooted tree?

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