Mathematics / Math.AT

All posts under category "Mathematics / Math.AT"

2 posts total
Sorted by date
A Thomason-like Quillen equivalence between quasi-categories and relative categories

A Thomason-like Quillen equivalence between quasi-categories and relative categories

: ๋ณธ ๋…ผ๋ฌธ์€ ๊ณ ๊ธ‰ ์ˆ˜ํ•™์  ๊ฐœ๋…์„ ๋ฐ”ํƒ•์œผ๋กœ ์‹œํ”Œ๋ฆฌ์–ผ ์ง‘ํ•ฉ(quasi categories)๊ณผ ์ƒ๋Œ€ ๋ฒ”์ฃผ(relative categories) ๊ฐ„์˜ ๊ด€๊ณ„๋ฅผ ํƒ๊ตฌํ•˜๊ณ  ์žˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ํŠนํžˆ ์กฐ์•Œ ๋™ํ˜•์„ฑ(Quillen equivalence)์ด๋ผ๋Š” ์ค‘์š”ํ•œ ๋„๊ตฌ๋ฅผ ์‚ฌ์šฉํ•˜์—ฌ ๋‘ ๋ฒ”์ฃผ์˜ ๊ตฌ์กฐ์™€ ๊ทธ ์‚ฌ์ด์˜ ๊ด€๊ณ„๋ฅผ ๋ถ„์„ํ•œ๋‹ค. 1. ์กฐ์•Œ ๋™ํ˜•์„ฑ๊ณผ ํ†ฐ์Šจ ๋™ํ˜•์„ฑ ์กฐ์•Œ ๋™ํ˜•์„ฑ์€ ๋‘ ๋ชจ๋ธ ๋ฒ”์ฃผ(model categories) ๊ฐ„์— ์กด์žฌํ•˜๋Š” ํŠน์ • ์ข…๋ฅ˜์˜ ๋™์น˜๊ด€๊ณ„์ด๋‹ค. ์ด๋Š” ๋‘ ๋ฒ”์ฃผ์˜ ๊ตฌ์กฐ์™€ ๊ทธ ์‚ฌ์ด์˜ ๊ด€๊ณ„๋ฅผ ์ดํ•ดํ•˜๋Š”๋ฐ ์ค‘์š”ํ•œ ๋„๊ตฌ๋กœ ์‚ฌ์šฉ๋œ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” ์กฐ

Mathematics

< Category Statistics (Total: 702) >

Astrophysics
83
Computer Science
239
Condensed Matter
8
Economics
6
Electrical Engineering and Systems Science
7
General
253
General Relativity
7
HEP-EX
5
HEP-PH
12
HEP-TH
5
MATH-PH
3
Mathematics
73
NUCL-TH
1
Nonlinear Sciences
14
Physics
84
Quantitative Biology
14
Quantitative Finance
10
Quantum Physics
9
Statistics
9

Start searching

Enter keywords to search articles

โ†‘โ†“
โ†ต
ESC
โŒ˜K Shortcut