When is a Lindelöf topological space separable?












1












$begingroup$


Let X be a topological space (neither metrizable nor second countable ).




  1. If X is Lindelöf, when X is separable?

  2. If X is separable, when X is Lindelöf?










share|cite|improve this question











$endgroup$












  • $begingroup$
    I cannot understand what you are saying or asking.
    $endgroup$
    – William Elliot
    Oct 30 '17 at 20:21






  • 1




    $begingroup$
    fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
    $endgroup$
    – rabota
    Oct 30 '17 at 21:39
















1












$begingroup$


Let X be a topological space (neither metrizable nor second countable ).




  1. If X is Lindelöf, when X is separable?

  2. If X is separable, when X is Lindelöf?










share|cite|improve this question











$endgroup$












  • $begingroup$
    I cannot understand what you are saying or asking.
    $endgroup$
    – William Elliot
    Oct 30 '17 at 20:21






  • 1




    $begingroup$
    fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
    $endgroup$
    – rabota
    Oct 30 '17 at 21:39














1












1








1


2



$begingroup$


Let X be a topological space (neither metrizable nor second countable ).




  1. If X is Lindelöf, when X is separable?

  2. If X is separable, when X is Lindelöf?










share|cite|improve this question











$endgroup$




Let X be a topological space (neither metrizable nor second countable ).




  1. If X is Lindelöf, when X is separable?

  2. If X is separable, when X is Lindelöf?







general-topology separable-spaces






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 7 '18 at 19:42







user618968

















asked Oct 30 '17 at 12:00









ME.ResearcherME.Researcher

61




61












  • $begingroup$
    I cannot understand what you are saying or asking.
    $endgroup$
    – William Elliot
    Oct 30 '17 at 20:21






  • 1




    $begingroup$
    fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
    $endgroup$
    – rabota
    Oct 30 '17 at 21:39


















  • $begingroup$
    I cannot understand what you are saying or asking.
    $endgroup$
    – William Elliot
    Oct 30 '17 at 20:21






  • 1




    $begingroup$
    fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
    $endgroup$
    – rabota
    Oct 30 '17 at 21:39
















$begingroup$
I cannot understand what you are saying or asking.
$endgroup$
– William Elliot
Oct 30 '17 at 20:21




$begingroup$
I cannot understand what you are saying or asking.
$endgroup$
– William Elliot
Oct 30 '17 at 20:21




1




1




$begingroup$
fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
$endgroup$
– rabota
Oct 30 '17 at 21:39




$begingroup$
fwiw: proofwiki.org/wiki/Separable_Metacompact_Space_is_Lindel%C3%B6f
$endgroup$
– rabota
Oct 30 '17 at 21:39










1 Answer
1






active

oldest

votes


















0












$begingroup$


  1. See my answer to the same question.


  2. I'll try to look for an answer when I'll have time.







share|cite|improve this answer









$endgroup$













    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',
    autoActivateHeartbeat: false,
    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%2f2496466%2fwhen-is-a-lindel%25c3%25b6f-topological-space-separable%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0












    $begingroup$


    1. See my answer to the same question.


    2. I'll try to look for an answer when I'll have time.







    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$


      1. See my answer to the same question.


      2. I'll try to look for an answer when I'll have time.







      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$


        1. See my answer to the same question.


        2. I'll try to look for an answer when I'll have time.







        share|cite|improve this answer









        $endgroup$




        1. See my answer to the same question.


        2. I'll try to look for an answer when I'll have time.








        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Oct 30 '17 at 20:24









        Alex RavskyAlex Ravsky

        42.7k32383




        42.7k32383






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Mathematics Stack Exchange!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            Use MathJax to format equations. MathJax reference.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2496466%2fwhen-is-a-lindel%25c3%25b6f-topological-space-separable%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

            How to change which sound is reproduced for terminal bell?

            Can I use Tabulator js library in my java Spring + Thymeleaf project?

            Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents