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Algebraic topology of finite topolog...

Barmak, Jonathan A.

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Algebraic topology of finite topological spaces and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic topology of finite topological spaces and applications // Jonathan A. Barmak.
作者:	Barmak, Jonathan A.
出版者:	Heidelberg ;Springer, : c2011.,
面頁冊數:	xvii, 170 p. :ill. ;24 cm.
內容註:	1. Preliminaries -- 2. Basic topological properties of finite spaces -- 3. Minimal finite models -- 4. Simple homotopy types and finite spaces -- 5. Strong homotopy types -- 6. Methods of reduction -- 7. h-Regular complexes and quotients -- 8. Group actions and a conjecture of quillen -- 9. Reduced lattices -- 10. Fixed points and the Lefschetz number -- 11. The Andrews-Curtis conjecture.
標題:	Topological spaces. -
ISBN:	9783642220029 (pbk.) :
ISSN:	00758434 (Mathematics)

Algebraic topology of finite topological spaces and applications /
Barmak, Jonathan A.

Algebraic topology of finite topological spaces and applications /Jonathan A. Barmak. - Heidelberg ;Springer,c2011. - xvii, 170 p. :ill. ;24 cm. - Lecture notes in mathematics ;2032. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references (p. 161-164) and index.

1. Preliminaries -- 2. Basic topological properties of finite spaces -- 3. Minimal finite models -- 4. Simple homotopy types and finite spaces -- 5. Strong homotopy types -- 6. Methods of reduction -- 7. h-Regular complexes and quotients -- 8. Group actions and a conjecture of quillen -- 9. Reduced lattices -- 10. Fixed points and the Lefschetz number -- 11. The Andrews-Curtis conjecture.

ISBN: 9783642220029 (pbk.) :EUR34.95

ISSN: 00758434 (Mathematics)

LCCN: 2011934806Subjects--Topical Terms:

523744
Topological spaces.

LC Class. No.: QA611.3 / .B37 2011

Algebraic topology of finite topological spaces and applications /
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050 # 4 $a QA611.3 $b .B37 2011
050 # 4 $a QA3 $b .L28 no.2032
100 1 $a Barmak, Jonathan A. $3 1329144
245 1 0 $a Algebraic topology of finite topological spaces and applications / $c Jonathan A. Barmak.
260 # $a Heidelberg ; $a New York : $b Springer, $c c2011.
300 $a xvii, 170 p. : $b ill. ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics ; $v 2032
504 $a Includes bibliographical references (p. 161-164) and index.
505 0 # $a 1. Preliminaries -- 2. Basic topological properties of finite spaces -- 3. Minimal finite models -- 4. Simple homotopy types and finite spaces -- 5. Strong homotopy types -- 6. Methods of reduction -- 7. h-Regular complexes and quotients -- 8. Group actions and a conjecture of quillen -- 9. Reduced lattices -- 10. Fixed points and the Lefschetz number -- 11. The Andrews-Curtis conjecture.
650 # 0 $a Topological spaces. $3 523744
650 # 0 $a Algebraic topology. $3 532744
650 # 0 $a Homotopy theory. $3 604501
650 # 0 $a Partially ordered sets. $3 724557
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985