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tutorial/chap5.html

@@ -324,7 +324,7 @@ <h5>5.5-1 <span class="Heading">Non-trivial cup product</span></h5>
 
 <h5>5.5-2 <span class="Heading">Explicit first homology generators</span></h5>
 
-<p>It could be desirable to obtain explicit representatives of the two homology generators in degree <span class="SimpleMath">1</span> that "persist". The following commands visualize the two explicit homology generators by visualizing a subspace <span class="SimpleMath">D⊂ X_10</span> where <span class="SimpleMath">D</span> is homotopy equivalent to a wedge of two circles and where the inclusion induces an isomorphism on first honology groups.</p>
+<p>It could be desirable to obtain explicit representatives of the two homology generators in degree <span class="SimpleMath">1</span> that "persist". The following commands visualize the two explicit homology generators by visualizing a subspace <span class="SimpleMath">D⊂ X_10</span> where <span class="SimpleMath">D</span> is homotopy equivalent to a wedge of two circles and where the inclusion induces an isomorphism on first homology groups.</p>
 
 
 <div class="example"><pre>

tutorial/chap5.txt

@@ -311,7 +311,7 @@
   generators  in degree 1 that "persist". The following commands visualize the
   two  explicit  homology generators by visualizing a subspace D⊂ X_10 where D
   is  homotopy  equivalent  to  a wedge of two circles and where the inclusion
-  induces an isomorphism on first honology groups.
+  induces an isomorphism on first homology groups.
 
     Example  
     gap> Y:=FiltrationTerm(F,10);;                   

tutorial/chap5_mj.html

@@ -327,7 +327,7 @@ <h5>5.5-1 <span class="Heading">Non-trivial cup product</span></h5>
 
 <h5>5.5-2 <span class="Heading">Explicit first homology generators</span></h5>
 
-<p>It could be desirable to obtain explicit representatives of the two homology generators in degree <span class="SimpleMath">\(1\)</span> that "persist". The following commands visualize the two explicit homology generators by visualizing a subspace <span class="SimpleMath">\(D\subset X_{10}\)</span> where <span class="SimpleMath">\(D\)</span> is homotopy equivalent to a wedge of two circles and where the inclusion induces an isomorphism on first honology groups.</p>
+<p>It could be desirable to obtain explicit representatives of the two homology generators in degree <span class="SimpleMath">\(1\)</span> that "persist". The following commands visualize the two explicit homology generators by visualizing a subspace <span class="SimpleMath">\(D\subset X_{10}\)</span> where <span class="SimpleMath">\(D\)</span> is homotopy equivalent to a wedge of two circles and where the inclusion induces an isomorphism on first homology groups.</p>
 
 
 <div class="example"><pre>