simplicial set (Q3224): Difference between revisions

@@ Property / subclass of @@
+functor
@@ Property / subclass of: functor / rank @@
+Normal rank
@@ Property / subclass of @@
+presheaf
@@ Property / subclass of: presheaf / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/03_kcm
@@ Property / Freebase ID: /m/03_kcm / rank @@
+Normal rank
@@ Property / Freebase ID: /m/03_kcm / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
-Timestamp
++2013-10-28T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / discoverer or inventor @@
+Samuel Eilenberg
@@ Property / discoverer or inventor: Samuel Eilenberg / rank @@
+Normal rank
@@ Property / discoverer or inventor: Samuel Eilenberg / qualifier @@
+point in time: 1950Timestamp +1950-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1950-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / discoverer or inventor: Samuel Eilenberg / qualifier @@
+published in: Semi-simplicial complexes and singular homology
@@ Property / discoverer or inventor: Samuel Eilenberg / reference @@
+stated in: History of Homological Algebra
@@ Property / discoverer or inventor @@
+Joseph Abraham Zilber
@@ Property / discoverer or inventor: Joseph Abraham Zilber / rank @@
+Normal rank
@@ Property / discoverer or inventor: Joseph Abraham Zilber / qualifier @@
+point in time: 1950Timestamp +1950-01-01T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 year
Before 0
After 0
-Timestamp
++1950-01-01T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+year
 Before
 After
@@ Property / discoverer or inventor: Joseph Abraham Zilber / qualifier @@
+published in: Semi-simplicial complexes and singular homology
@@ Property / discoverer or inventor: Joseph Abraham Zilber / reference @@
+stated in: History of Homological Algebra
@@ Property / nLab ID @@
+simplicial set
@@ Property / nLab ID: simplicial set / rank @@
+Normal rank
@@ Property / studied in @@
+homotopy theory
@@ Property / studied in: homotopy theory / rank @@
+Normal rank
@@ Property / studied in @@
+algebraic topology
@@ Property / studied in: algebraic topology / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+155366967
@@ Property / Microsoft Academic ID: 155366967 / rank @@
+Normal rank
@@ Property / OpenAlex ID @@
+C155366967
@@ Property / OpenAlex ID: C155366967 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C155366967 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
Before 0
After 0
reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
-Timezone
++00:00
-Calendar
+Gregorian
-Precision
+day
 Before
 After
@@ Property / Stack Exchange tag @@
+https://mathoverflow.net/tags/simplicial-stuff
+Normal rank
@@ Property / defining formula @@
+ $X\colon \triangle ^{\operatorname {op} }\to \operatorname {Set}$ 
X\colon\triangle^{\operatorname{op}}\to\operatorname{Set}
+Normal rank
@@ Property / in defining formula @@
+ $\operatorname {Set}$ 
\operatorname{Set}
@@ Property / in defining formula: $\operatorname {Set}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\operatorname {Set}$ / qualifier @@
+symbol represents: category of sets
@@ Property / in defining formula @@
+ $X$ 
X
@@ Property / in defining formula: $X$ / rank @@
+Normal rank
@@ Property / in defining formula: $X$ / qualifier @@
+symbol represents: simplicial set
@@ Property / in defining formula @@
+ $\triangle$ 
\triangle
@@ Property / in defining formula: $\triangle$ / rank @@
+Normal rank
@@ Property / in defining formula: $\triangle$ / qualifier @@
+symbol represents: simplex category
@@ Property / in defining formula @@
+ $^{\operatorname {op} }$ 
^{\operatorname{op}}
@@ Property / in defining formula: $^{\operatorname {op} }$ / rank @@
+Normal rank
@@ Property / in defining formula: $^{\operatorname {op} }$ / qualifier @@
+symbol represents: opposite category

Latest revision as of 16:54, 29 July 2024

construction in categorical homotopy theory; contravariant functor from the simplex category to the category of sets

c.s.s. complex
simplical set

Language	Label	Description	Also known as
English	simplicial set	construction in categorical homotopy theory; contravariant functor from the simplex category to the category of sets	c.s.s. complex simplical set