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15
492
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Understanding the exponential object in slice categories

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#logic #category-theory #simplicial-stuff
689
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How can I understand maps out of a limit or into a colimit?

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#category-theory #simplicial-stuff #model-categories
427
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Slick proof the simplicial cone over the n-simplex is the (n+1)-simplex

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#category-theory #homotopy-theory #simplicial-stuff
268
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Geometric Intuition of Simplical Sets

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#geometry #graph-theory #category-theory #sheaf-theory #simplicial-stuff
7.3k
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Understanding the n-dimensional Simplex in Topology

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#general-topology #graph-theory #simplicial-stuff
126
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Fibrant objects of marked simplicial sets

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#category-theory #homotopy-theory #simplicial-stuff #higher-category-theory
99
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If $lk(v;K)$ is collapsible, then $K$ collapses to $del(v;K)$.

Published on
#simplex #simplicial-stuff #simplicial-complex #convex-cone
90
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How to write the prism as a colimit of simplices (in the category of simplicial sets)?

Published on
#category-theory #simplicial-stuff #limits-colimits
151
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Definition: What is the under-category of an $\infty$-category?

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#category-theory #simplicial-stuff #higher-category-theory
65
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Do I correctly understand about the facts on the bar resolution?

Published on
#homological-algebra #homotopy-theory #simplicial-stuff
242
Views

Dimension of homology of $q$-skeleton

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#linear-algebra #combinatorics #homology-cohomology #simplicial-stuff #simplicial-complex
451
Views

Two equivalent definitions of weak equivalences of simplicial sets

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#algebraic-topology #category-theory #simplicial-stuff #model-categories
70
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$2$-skeleton of k-th horn of $\Delta^n$

Published on
#algebraic-topology #simplex #simplicial-stuff #simplicial-complex
156
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Limits vs homotopy limits in derived algebraic geometry

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#algebraic-geometry #homotopy-theory #simplicial-stuff #higher-category-theory
169
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Understanding geometric realisation of a simplicial set

Published on
#quotient-spaces #simplicial-stuff

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