Jump to navigation Jump to search

General

Display information for equation id:math.231655.19 on revision:231655

* Page found: Homotopy lifting property (eq math.231655.19)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: f6cb816a348385f439a173cc30f7048c

TeX (original user input):

T \colon = (X\times\{0\}) \cup (Y\times [0,1]) \ \subseteq \ X\times [0,1]

TeX (checked):

T\colon =(X\times \{0\})\cup (Y\times [0,1])\ \subseteq \ X\times [0,1]

LaTeXML (experimental; uses MathML) rendering

MathML (5.429 KB / 1.014 KB) :

T := ( X × { 0 } ) ( Y × [ 0 , 1 ] ) X × [ 0 , 1 ] assign 𝑇 𝑋 0 𝑌 0 1 𝑋 0 1 {\displaystyle T\colon=(X\times\{0\})\cup(Y\times[0,1])\ \subseteq\ X\times[0,% 1]}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle T\colon=(X\times\{0\})\cup(Y\times[0,1])\ \subseteq\ X\times[0,%&#10;1]}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">T</mi>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">:=</mo>
      <mrow id="p1.1.m1.1.31.2" xref="p1.1.m1.1.31.2.cmml">
        <mrow id="p1.1.m1.1.31.2.1" xref="p1.1.m1.1.31.2.1.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.31.2.1.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.31.2.1.2" xref="p1.1.m1.1.31.2.1.2.cmml">
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">X</mi>
            <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">×</mo>
            <mrow id="p1.1.m1.1.31.2.1.2.1" xref="p1.1.m1.1.31.2.1.2.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.31.2.1.2.1.1.cmml">{</mo>
              <mn id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">0</mn>
              <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.31.2.1.2.1.1.cmml">}</mo>
            </mrow>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.31.2.1.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml"></mo>
        <mrow id="p1.1.m1.1.31.2.2" xref="p1.1.m1.1.31.2.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.31.2.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.31.2.2.2" xref="p1.1.m1.1.31.2.2.2.cmml">
            <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">Y</mi>
            <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">×</mo>
            <mrow id="p1.1.m1.1.31.2.2.2.1" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.15" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">[</mo>
              <mn id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">0</mn>
              <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">,</mo>
              <mn id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">1</mn>
              <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.31.2.2.2.1.1.cmml">]</mo>
            </mrow>
          </mrow>
          <mo rspace="7.5pt" stretchy="false" id="p1.1.m1.1.20" xref="p1.1.m1.1.31.2.2.2.cmml">)</mo>
        </mrow>
      </mrow>
      <mo rspace="7.5pt" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml"></mo>
      <mrow id="p1.1.m1.1.31.3" xref="p1.1.m1.1.31.3.cmml">
        <mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">X</mi>
        <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">×</mo>
        <mrow id="p1.1.m1.1.31.3.1" xref="p1.1.m1.1.31.3.1.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.26" xref="p1.1.m1.1.31.3.1.1.cmml">[</mo>
          <mn id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">0</mn>
          <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.31.3.1.1.cmml">,</mo>
          <mn id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">1</mn>
          <mo stretchy="false" id="p1.1.m1.1.30" xref="p1.1.m1.1.31.3.1.1.cmml">]</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
        <and id="p1.1.m1.1.31a.cmml" xref="p1.1.m1.1.31"/>
        <apply id="p1.1.m1.1.31b.cmml" xref="p1.1.m1.1.31">
          <csymbol cd="latexml" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">assign</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑇</ci>
          <apply id="p1.1.m1.1.31.2.cmml" xref="p1.1.m1.1.31.2">
            <union id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
            <apply id="p1.1.m1.1.31.2.1.2.cmml" xref="p1.1.m1.1.31.2.1">
              <times id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
              <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑋</ci>
              <set id="p1.1.m1.1.31.2.1.2.1.1.cmml" xref="p1.1.m1.1.31.2.1.2.1">
                <cn type="integer" id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">0</cn>
              </set>
            </apply>
            <apply id="p1.1.m1.1.31.2.2.2.cmml" xref="p1.1.m1.1.31.2.2">
              <times id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
              <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑌</ci>
              <interval closure="closed" id="p1.1.m1.1.31.2.2.2.1.1.cmml" xref="p1.1.m1.1.31.2.2.2.1">
                <cn type="integer" id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">0</cn>
                <cn type="integer" id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">1</cn>
              </interval>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.31c.cmml" xref="p1.1.m1.1.31">
          <subset id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22"/>
          <share href="#p1.1.m1.1.31.2.cmml" id="p1.1.m1.1.31d.cmml" xref="p1.1.m1.1.31"/>
          <apply id="p1.1.m1.1.31.3.cmml" xref="p1.1.m1.1.31.3">
            <times id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25"/>
            <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝑋</ci>
            <interval closure="closed" id="p1.1.m1.1.31.3.1.1.cmml" xref="p1.1.m1.1.31.3.1">
              <cn type="integer" id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">0</cn>
              <cn type="integer" id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">1</cn>
            </interval>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle T\colon=(X\times\{0\})\cup(Y\times[0,1])\ \subseteq\ X\times[0,%
1]}</annotation>
  </semantics>
</math>

SVG (11.574 KB / 4.107 KB) :

upper T colon equals left-parenthesis upper X times StartSet 0 EndSet right-parenthesis union left-parenthesis upper Y times left-bracket 0 comma 1 right-bracket right-parenthesis subset-of-or-equal-to upper X times left-bracket 0 comma 1 right-bracket

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Empty math term tag - Reason: An unknown or missing element occurred

Translation to Mathematica

In Mathematica:

Empty math term tag - Reason: An unknown or missing element occurred

Similar pages

Calculated based on the variables occurring on the entire Homotopy lifting property page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results