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Article #14165

Re: [Q] ( Re: Compact

#14165
From: Shimura Tatsuya
Date: Thu, 16 Nov 1995 00:00
39 lines
1862 bytes
> |   Lynn Arthur Steen, J.Arthur Seebach,Jr.:
> |   Counterexamples in Topology (second edition),
> |   Springer(1978).

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In article
<TAKANORI.95Nov16124032@clare.ohsaki.meidensha.co.jp> 
takanori@clare.ohsaki.meidensha.co.jp (Takanori Hayashi) writes:

> |   99. Maximal compact topology
> |   $@Dj5A$OLLE]$J$N$GN,!#(J
> |   $@G$0U$N%3%s%Q%/%H=89g$,JD=89g$K$J$C(J$@$F$$$k$=$&$G$9!#(J
 
>  $@$3$l$O6=L#?<$$$G$9$M!#87L)$G$J$/$F$bNI$$$+$iDj5A$,CN$j$?$$!#(J
> $@$^$5$+$3$N6u4V$O(J$@%3%s%Q%/%H$G$O$J$$$G$9$h$M!#(J
> # $@%3%s%Q%/%H$J$i!"$^$s$^H?Nc$@!#(J

$@$3$NJ8$rFI$`$^$GLdBj$rFI$_0c$($F$$$?(J$@$3$H$K5$$E$-$^$;$s$G$7(J
$@$?!#(J(^^;

$@$=$N$^$5$+$G$9!#(J

$@$H$$$&$3$H$G>e5-$NK\$+$iDj5A$r$=$N$^$^0zMQ$7$^$9!#(J

Let X be the set of all lattice points (i,j) of positive
integers together with two ideal points x and y. The
topology on X is defined by declaring each lattice point
to be open, and by taking as open neighborhoods of x sets
of the form X-A where A is any set of lattice points with
at most finitely many points on each row, and as open
neighborhoods of y all sets of the form X-B where B is any
set of lattice points selected from at most finitely many rows.


--

      T.Shimura    e-mail:shimura@math.cst.nihon-u.ac.jp
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From: shimura@math.cst.nihon-u.ac.jp (Shimura Tatsuya)
Subject: Re: [Q] ( Re: Compact
Date: 1995/11/16
Message-ID: <SHIMURA.95Nov16193359@octopus.math.cst.nihon-u.ac.jp>
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distribution: fj
sender: news@cstpm.cst.nihon-u.ac.jp
references: <WAKAMATU.95Nov9215055@hakobe.kurims.kyoto-u.ac.jp>
organization: Dept. of Math., Nihon Univ., Japan
newsgroups: fj.sci.math