Mixing
Amalgamation base, extending Galois type
$begingroup$
Here on the page 12 the Observation 1.11 5) says
If $Mleq_{frak K} N$ are from ${frak K}_{lambda}$, $M$ is an amalgamation base
and $pin mathscr{S}(M) ;underline{text{then}}$ there is $qin mathscr{S}(N)$ extending $p$,
so the mapping $qmapsto qupharpoonright M$ is a function from $mathscr{S}(N)$ onto $mathscr{S}(M)$.
My question is easy: how have we technically used in the entire paragraph that $M$ is an amalgamation base ?? Some diagrams would clarify the situation!
functions logic order-theory predicate-logic model-theory
asked Jan 20 at 14:08
user122424user122424
1,1482716
$endgroup$
add a comment |
$begingroup$
Here on the page 12 the Observation 1.11 5) says
If $Mleq_{frak K} N$ are from ${frak K}_{lambda}$, $M$ is an amalgamation base
and $pin mathscr{S}(M) ;underline{text{then}}$ there is $qin mathscr{S}(N)$ extending $p$,
so the mapping $qmapsto qupharpoonright M$ is a function from $mathscr{S}(N)$ onto $mathscr{S}(M)$.
My question is easy: how have we technically used in the entire paragraph that $M$ is an amalgamation base ?? Some diagrams would clarify the situation!
functions logic order-theory predicate-logic model-theory
asked Jan 20 at 14:08
user122424user122424
1,1482716
$endgroup$
add a comment |
$begingroup$
Here on the page 12 the Observation 1.11 5) says
If $Mleq_{frak K} N$ are from ${frak K}_{lambda}$, $M$ is an amalgamation base
and $pin mathscr{S}(M) ;underline{text{then}}$ there is $qin mathscr{S}(N)$ extending $p$,
so the mapping $qmapsto qupharpoonright M$ is a function from $mathscr{S}(N)$ onto $mathscr{S}(M)$.
My question is easy: how have we technically used in the entire paragraph that $M$ is an amalgamation base ?? Some diagrams would clarify the situation!
functions logic order-theory predicate-logic model-theory
asked Jan 20 at 14:08
user122424user122424
1,1482716
$endgroup$
Here on the page 12 the Observation 1.11 5) says
If $Mleq_{frak K} N$ are from ${frak K}_{lambda}$, $M$ is an amalgamation base
and $pin mathscr{S}(M) ;underline{text{then}}$ there is $qin mathscr{S}(N)$ extending $p$,
so the mapping $qmapsto qupharpoonright M$ is a function from $mathscr{S}(N)$ onto $mathscr{S}(M)$.
My question is easy: how have we technically used in the entire paragraph that $M$ is an amalgamation base ?? Some diagrams would clarify the situation!
functions logic order-theory predicate-logic model-theory
functions logic order-theory predicate-logic model-theory
asked Jan 20 at 14:08
user122424user122424
1,1482716
asked Jan 20 at 14:08
user122424user122424
1,1482716
edited Jan 21 at 18:39
user122424
asked Jan 20 at 14:08
user122424user122424
1,1482716
asked Jan 20 at 14:08
user122424user122424
1,1482716
asked Jan 20 at 14:08
user122424user122424
1,1482716
1,1482716
add a comment |
add a comment |
0
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',
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3080620%2famalgamation-base-extending-galois-type%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3080620%2famalgamation-base-extending-galois-type%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
