How to show, that given sets are Borel set?











up vote
0
down vote

favorite












I have 3 sets: [3,4], N, Z. I need to show that thees sets are Borel sets. I see this first time. And have no idea, how to show it... I found that
$(a,b]=cap_{n=1}^infty (a,b+frac{1}{n})$, $a<b$. But how it works here?










share|cite|improve this question






















  • Might this help you?
    – Easymode44
    Nov 19 at 11:25















up vote
0
down vote

favorite












I have 3 sets: [3,4], N, Z. I need to show that thees sets are Borel sets. I see this first time. And have no idea, how to show it... I found that
$(a,b]=cap_{n=1}^infty (a,b+frac{1}{n})$, $a<b$. But how it works here?










share|cite|improve this question






















  • Might this help you?
    – Easymode44
    Nov 19 at 11:25













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have 3 sets: [3,4], N, Z. I need to show that thees sets are Borel sets. I see this first time. And have no idea, how to show it... I found that
$(a,b]=cap_{n=1}^infty (a,b+frac{1}{n})$, $a<b$. But how it works here?










share|cite|improve this question













I have 3 sets: [3,4], N, Z. I need to show that thees sets are Borel sets. I see this first time. And have no idea, how to show it... I found that
$(a,b]=cap_{n=1}^infty (a,b+frac{1}{n})$, $a<b$. But how it works here?







probability probability-theory borel-sets






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 19 at 11:17









Atstovas

466




466












  • Might this help you?
    – Easymode44
    Nov 19 at 11:25


















  • Might this help you?
    – Easymode44
    Nov 19 at 11:25
















Might this help you?
– Easymode44
Nov 19 at 11:25




Might this help you?
– Easymode44
Nov 19 at 11:25















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














 

draft saved


draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3004801%2fhow-to-show-that-given-sets-are-borel-set%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















 

draft saved


draft discarded



















































 


draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3004801%2fhow-to-show-that-given-sets-are-borel-set%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Bundesstraße 106

Verónica Boquete

Ida-Boy-Ed-Garten