《点集拓扑讲义》第四版(熊金城)课后习题答案

§6.5 y$½ ¿3flÇ67,($ ) L67ªM67 …………………………………… 55
§6.6 ª <fl67 ………………………………………………………………………… 57
$ 7 ø hi½ ………………………………………………………………………………… 58
§7.1 hi67 ……………………………………………………………………………… 58
§1.7 ª .,flª ., 9
§1.8 ½ ¼ ¿3 ……………………………………………………………………………… 10
$ 2 ø @fl67fl½ :$‰ ........................................................................................................12
§
$1 ø
fi½ .................................................................. 1
§ 1.1
$ 3 ………………………………………………………………………… 1
§ 1.2
$#$ ………………………………………………………………………… 1
§1.5 $‰ ……………………………………………………………………………………… 6
§1.6 *þ%#$ ..........................................................................................................................9
§5.1 $—fl$=ª.½ ¿3 .......................................................................................................44
§5.2 ªy67 ................................................................................................................................46
$ 3 ø Ç67,($ ) L67,M67 .............................................. 26
§3.1 Ç67 ....................................................................................................................................26
$ 9 ø L67………………………………………………………………………………… 69
§ 9.1
* $ƒ"L ……………………………………………………………………… 69
§ 9.2
L67 ………………………………………………………………………………… 69
§9.3 ªL @fl½ u ……………………………………………………………………… 72
§9.4 TyshonofvL¿3 …………………………………………………………………… 74
§9.5 @fl67flfiflØ z$ …………………………………………………………… 75
$ 10 ø
$‰67 …………………………………………………………………………… 76
Baidu Nhomakorabea
§10.1 Afi~@fl ………………………………………………………………………… 76
§6.1 T,T,Hauzdorf67 ............................................................................................................49
§6.2 fl^,flfi,T,T 67 .........................................................................................................51
§4.2 ½ N½ $‰RST$ .......................................................................................................38
§4.3 ½ Ny@ ................................................................................................................................40
§7.6 Chi67,fihi67 …………………………………………………………… 64
$ 8 ø yq <67………………………………………………………………………… 66
§8.1 <67 yqfl …………………………………………………………………… 66
§8.2 <67 yq½ flhi½ ,Baire¿3 …………………………………………… 67
§1.3 §fi ...........................................................................................................................................5
§1.4 §'§fi ..................................................................................................................................6
1.1 ?flfifi ؾ ¿:‰‰ %6 ?‰‰ %?¼ ?‰‰
‰ 7$?Ç §fi?
(1) Æ ={ s¦ sc Z,?%flfl yc Z, ? s=2y} ;
(2) B={2};
(3) C ={s¦ sc Æ,% s =1} ;
(4) D ={ s¦ sc Æ,% sfi?.} ;
(5) E ={s¦ sc Q,% s =2} .
?:B =DC ÆC Z,C =E =Ø,C,E% B ?Ç ,B,D% Æ ?Ç
1.2 ??fi½ fi§fifi fl?fl??.
(1) Æ ={ Æ};
(2) Æc { Æ} ;
§2.6 flÇ ................................................................................................................................21
§2.7 @fl67Ø §fi ...............................................................................................................23
$ 4 ø ½ N½ .................................................................................... 35
§4.1 ½ N67 ................................................................................................................................35
§3.2 ( $ ) L67 ....................................................................................................................28
§3.3 M67 ....................................................................................................................................31
§6.3 Uryzohn fl3ªTietzeflfl¿3 ..........................................................................................53
I
§6.4 yKfl^67,Tyshonof67 ……………………………………………………… 54
§2.4 fl ,‰ ,‰¢ ....................................................................................................................16
§2.5 ƒC,4E ..............................................................................................................................18
§10.2 —i~• <ª—i~•@fl ……………………………………………………… 76
§10.2 hifl@fl …………………………………………………………………………… 76 ?fl ……………………………………………………………………………………………… 76
#
ø1 ø fi÷
§1.1
$
§7.2 hi½ fly$½ ¿3 ………………………………………………………………… 59
§7.3 n ‰fi¶67 R Ø hiÇ ……………………………………………………… 60
§7.4 fiØhi½ ½ þ%7 §fi ………………………………………………………… 61
§7.5 <67Ø hi½ ………………………………………………………………… 63
§4.4 C½ N67 ………………………………………………………………………… 41
§4.5 ‰Z½ N67 ………………………………………………………………………… 42
$ 5 ø $§ª.½ ¿3 ............................................................................................................44
§5.3 Lindelo¨ f67 ..........................................................................................................................47
$ 6 ø y$½ ¿3................................................................... 49
§2.1 <67fl½:$‰ ………………………………………………………………… 12
§2.2 @fl67fl½:$‰ ………………………………………………………………… 15
§2.3 =>fl=>fi ........................................................................................................................16