Jump to navigation Jump to search

General

Display information for equation id:math.269830.2 on revision:269830

* Page found: Weak equivalence (homotopy theory) (eq math.269830.2)

(force rerendering)

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

Occurrences on the following pages:

Hash: af8ab42080ebaf9a13dab190d9cb68bf

TeX (original user input):

\pi_n(X, x) \cong \pi_n(Y, y)\,

TeX (checked):

\pi _{n}(X,x)\cong \pi _{n}(Y,y)\,

LaTeXML (experimental; uses MathML) rendering

MathML (3.435 KB / 738 B) :

π n ( X , x ) π n ( Y , y ) subscript π n X x subscript π n Y y {\displaystyle\pi_{n}(X,x)\cong\pi_{n}(Y,y)\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\pi_{n}(X,x)\cong\pi_{n}(Y,y)\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">
      <mrow id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">
        <msub id="p1.1.m1.1.17.1.2" xref="p1.1.m1.1.17.1.2.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">π</mi>
          <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">n</mi>
        </msub>
        <mo id="p1.1.m1.1.17.1.1" xref="p1.1.m1.1.17.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.17.1.3" xref="p1.1.m1.1.17.1.3.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.3">(</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">X</mi>
          <mo id="p1.1.m1.1.5">,</mo>
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">x</mi>
          <mo stretchy="false" id="p1.1.m1.1.7">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
      <mrow id="p1.1.m1.1.17.2" xref="p1.1.m1.1.17.2.cmml">
        <msub id="p1.1.m1.1.17.2.2" xref="p1.1.m1.1.17.2.2.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">π</mi>
          <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">n</mi>
        </msub>
        <mo id="p1.1.m1.1.17.2.1" xref="p1.1.m1.1.17.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.17.2.3" xref="p1.1.m1.1.17.2.3.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.11">(</mo>
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">Y</mi>
          <mo id="p1.1.m1.1.13">,</mo>
          <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">y</mi>
          <mo rspace="4.2pt" stretchy="false" id="p1.1.m1.1.15">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">
        <approx id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
        <apply id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">
          <times id="p1.1.m1.1.17.1.1.cmml" xref="p1.1.m1.1.17.1.1"/>
          <apply id="p1.1.m1.1.17.1.2.cmml" xref="p1.1.m1.1.17.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.17.1.2.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">π</ci>
            <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">n</ci>
          </apply>
          <interval closure="open" id="p1.1.m1.1.17.1.3.1.cmml" xref="p1.1.m1.1.17.1.3">
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">X</ci>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">x</ci>
          </interval>
        </apply>
        <apply id="p1.1.m1.1.17.2.cmml" xref="p1.1.m1.1.17.2">
          <times id="p1.1.m1.1.17.2.1.cmml" xref="p1.1.m1.1.17.2.1"/>
          <apply id="p1.1.m1.1.17.2.2.cmml" xref="p1.1.m1.1.17.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.17.2.2.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">π</ci>
            <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">n</ci>
          </apply>
          <interval closure="open" id="p1.1.m1.1.17.2.3.1.cmml" xref="p1.1.m1.1.17.2.3">
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">Y</ci>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">y</ci>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\pi_{n}(X,x)\cong\pi_{n}(Y,y)\,}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (8.685 KB / 3.432 KB) :

pi Subscript n Baseline times left-parenthesis upper X comma x right-parenthesis approximately-equals pi Subscript n Baseline times left-parenthesis upper Y comma y right-parenthesis

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:

Unknown relation. Cannot translate: \cong - Reason: No translation possible for given token

Translation to Mathematica

In Mathematica:

Unknown relation. Cannot translate: \cong - Reason: No translation possible for given token

Similar pages

Calculated based on the variables occurring on the entire Weak equivalence (homotopy theory) page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results