Difference: Pseudomanifold10Vertex (57 vs. 58)

Revision 582017-08-28 - Main.EdwardSwartz

Line: 1 to 1
 
META TOPICPARENT name="WebHome"
-- Main.ebs22 - 2016-01-07 -- Main.srs74 - 2015-12-22
Line: 27 to 27
 
  • c - If Δ has 8 singular vertices and m of them are Klein bottles, then g2 ≥ 2 χ - 10 + (m/3)
  • d - If Δ has 8 singular vertices and any of them are real projective planes, then g2 ≥ 2 χ - 7
  • e - If Δ has 8 singular vertices including 3 projective planes and 2 Klein bottles, then g2 ≥ 2 χ - 5
Deleted:
<
<
  • f - Combine a with the fact that if v and w are two vertices which do not share an edge, then g2(Δ) ≥ g2 (link v) + g2 (link w)
 

f-vector - A nonempty entry indicates that all possible f-vectors for complexes with the given singular vertices is known.

Line: 46 to 45
 

<-- /editTable -->
Changed:
<
<
  10_0_0_0_0_0_0_0_10 20 5 15   19,[2]   f 10      
  10_0_0_0_0_0_0_0_6_0_4 22 1 15   21,[2]   a,f 10 *    
  10_0_0_0_0_0_2_0_8 19 2 15   18,[2]   f 10      
  10_0_0_0_0_0_3_0_6_0_1 19 2 15   18,[2]   a,f 10      
  10_0_0_0_0_0_4_0_6 18 9 15   17,[2]   f 10      
  10_0_0_0_0_0_6_0_4 17 14 15   16,[2]   f 10      
  10_0_0_0_0_0_8_0_2 16 9 15   15,[2]   f 10      
  10_0_0_0_0_0_10_0_0 15 1 15   14,[2]   f 10 *    
  10_0_0_0_1_0_4_0_5 17 3 15   16,[2]   f 10      
  10_0_0_0_1_0_5_0_3_0_1 17 1 15   16,[2]   a,f 10 *    
  10_0_0_0_1_0_6_0_3 16 29 15   15,[2]   f 10      
  10_0_0_0_1_0_7_0_1_0_1 16 1 15   15,[2]   a,f 10 *    
  10_0_0_0_1_0_8_0_1 15 24 15   14,[2]   f 10      
>
>
  10_0_0_0_0_0_0_0_10 20 5 15   19,[2]            
  10_0_0_0_0_0_0_0_6_0_4 22 1 15   21,[2]   a 10 *    
  10_0_0_0_0_0_2_0_8 19 2 15   18,[2]     10      
  10_0_0_0_0_0_3_0_6_0_1 19 2 15   18,[2]   a 10      
  10_0_0_0_0_0_4_0_6 18 9 15   17,[2]            
  10_0_0_0_0_0_6_0_4 17 14 15   16,[2]            
  10_0_0_0_0_0_8_0_2 16 9 15   15,[2]            
  10_0_0_0_0_0_10_0_0 15 1 15   14,[2]       *    
  10_0_0_0_1_0_4_0_5 17 3 15   16,[2]            
  10_0_0_0_1_0_5_0_3_0_1 17 1 15   16,[2]   a 10 *    
  10_0_0_0_1_0_6_0_3 16 29 15   15,[2]     10      
  10_0_0_0_1_0_7_0_1_0_1 16 1 15   15,[2]   a 10 *    
  10_0_0_0_1_0_8_0_1 15 24 15   14,[2]     10      
 
  10_0_0_0_2_0_2_0_6 17 2 15   16,[2]            
Changed:
<
<
  10_0_0_0_2_0_4_0_4 16 45 14   15,[2]   f        
  10_0_0_0_2_0_6_0_2 15 90 14   14,[2]   f        
  10_0_0_0_2_0_8_0_0 14 63 14   13,[2]   f        
>
>
  10_0_0_0_2_0_4_0_4 16 45 14   15,[2]            
  10_0_0_0_2_0_6_0_2 15 90 14   14,[2]            
  10_0_0_0_2_0_8_0_0 14 63 14   13,[2]            
 
  10_0_0_0_3_0_2_0_5 16 3 15   15,[2]            
  10_0_0_0_3_0_3_0_3_0_1 16 1 15   15,[2]   a 10 *    
  10_0_0_0_3_0_4_0_3 15 89 14   14,[2]            
Line: 79 to 78
 
  10_0_0_0_6_0_0_0_4 14 2 15   13,[2]            
  10_0_0_0_6_0_2_0_2 13 125 13   12,[2]            
  10_0_0_0_6_0_3_0_0_0_1 13 7 15   12,[2]   a 10      
Changed:
<
<
  10_0_0_0_6_0_4_0_0 12 675 12   11,[2]   f        
>
>
  10_0_0_0_6_0_4_0_0 12 675 12   11,[2]            
 
  10_0_0_0_7_0_0_0_3 13 13 14   12,[2]            
  10_0_0_0_7_0_1_0_1_0_1 13 4 15   12,[2]   a 10      
  10_0_0_0_7_0_2_0_1 12 243 14   11,[2]            
Line: 87 to 86
 
  10_0_0_0_8_0_2_0_0 11 876 13   10,[2]            
  10_0_0_0_9_0_0_0_1 11 38 14   10,[2]            
  10_0_0_0_10_0_0_0_0 10 43 14   9,[2]            
Changed:
<
<
  10_0_0_1_0_0_2_0_7 18 1 15   17,[2]   f 10 *    
  10_0_0_1_0_0_4_0_5 17 6 15   16,[2]   f 10      
  10_0_0_1_0_0_6_0_3 16 27 15   15,[2]   f 10      
  10_0_0_1_0_0_8_0_1 15 13 15   14,[2]   f 10      
>
>
  10_0_0_1_0_0_2_0_7 18 1 15   17,[2]       *    
  10_0_0_1_0_0_4_0_5 17 6 15   16,[2]            
  10_0_0_1_0_0_6_0_3 16 27 15   15,[2]            
  10_0_0_1_0_0_8_0_1 15 13 15   14,[2]            
 
  10_0_0_1_1_0_2_0_6 17 1 15   16,[2]       *    
  10_0_0_1_1_0_3_0_4_0_1 17 2 15   16,[2]   a 10      
Changed:
<
<
  10_0_0_1_1_0_4_0_4 16 52 14   15,[2]   f        
>
>
  10_0_0_1_1_0_4_0_4 16 52 14   15,[2]            
 
  10_0_0_1_1_0_5_0_2_0_1 16 2 15   15,[2]   a 10      
Changed:
<
<
  10_0_0_1_1_0_6_0_2 15 115 14   14,[2]   f        
>
>
  10_0_0_1_1_0_6_0_2 15 115 14   14,[2]            
 
  10_0_0_1_1_0_8_0_0 14 47 15   13,[2]            
  10_0_0_1_2_0_0_0_7 17 1 15   16,[2]       *    
  10_0_0_1_2_0_2_0_5 16 18 15   15,[2]            
Line: 125 to 124
 
  10_0_0_1_7_0_2_0_0 11 1411 14   10,[2]            
  10_0_0_1_8_0_0_0_1 11 63 14   10,[2]            
  10_0_0_1_9_0_0_0_0 10 67 14   9,[2]            
Changed:
<
<
  10_0_0_2_0_0_0_0_8 18 5 14   17,[2]   f        
>
>
  10_0_0_2_0_0_0_0_8 18 5 14   17,[2]            
 
  10_0_0_2_0_0_2_0_6 17 3 15   16,[2]            
Changed:
<
<
  10_0_0_2_0_0_4_0_4 16 26 14   15,[2]   f        
  10_0_0_2_0_0_6_0_2 15 44 14   14,[2]   f        
  10_0_0_2_0_0_8_0_0 14 24 14   13,[2]   f        
>
>
  10_0_0_2_0_0_4_0_4 16 26 14   15,[2]            
  10_0_0_2_0_0_6_0_2 15 44 14   14,[2]            
  10_0_0_2_0_0_8_0_0 14 24 14   13,[2]            
 
  10_0_0_2_1_0_2_0_5 16 16 15   15,[2]            
  10_0_0_2_1_0_4_0_3 15 73 15   14,[2]            
  10_0_0_2_1_0_6_0_1 14 194 14   13,[2]            
Line: 396 to 395
 
  10_0_2_2_0_0_2_0_4 14 11 14   13,[2]            
  10_0_2_2_0_0_3_0_2_0_1 14 1 15   13,[2]   a 10 *    
  10_0_2_2_0_0_4_0_2 13 101 13   12,[2]            
Changed:
<
<
  10_0_2_2_0_0_6_0_0 12 366 11   11,[2]   f        
>
>
  10_0_2_2_0_0_6_0_0 12 366 11   11,[2]            
 
  10_0_2_2_1_0_0_0_5 14 1 15   13,[2]       *    
  10_0_2_2_1_0_2_0_3 13 92 14   12,[2]            
  10_0_2_2_1_0_3_0_1_0_1 13 4 15   12,[2]   a 10      
Line: 661 to 660
 
  10_1_0_0_7_0_1_0_0_0_1 11 9 15   10,[2]   a 10      
  10_1_0_0_7_0_2_0_0 10 1586 11   9,[2]            
  10_1_0_0_8_0_0_0_1 10 86 13   9,[2]            
Changed:
<
<
  10_1_0_0_9_0_0_0_0 9 447 10   8,[2]   f 9      
>
>
  10_1_0_0_9_0_0_0_0 9 447 10   8,[2]            
 
  10_1_0_1_0_0_6_0_2 14 2 15   13,[2]            
  10_1_0_1_1_0_4_0_3 14 1 15   13,[2]       *    
  10_1_0_1_1_0_6_0_1 13 13 15   12,[2]            
Line: 680 to 679
 
  10_1_0_1_6_0_1_0_0_0_1 11 7 15   10,[2]   a 10      
  10_1_0_1_6_0_2_0_0 10 4184 12   9,[2]            
  10_1_0_1_7_0_0_0_1 10 232 13   9,[2]   a' 10, #1,β      
Changed:
<
<
  10_1_0_1_8_0_0_0_0 9 1743 10   8,[2]   f 9      
>
>
  10_1_0_1_8_0_0_0_0 9 1743 10   8,[2]            
 
  10_1_0_2_0_0_4_0_3 14 1 15   13,[2]       *    
  10_1_0_2_0_0_6_0_1 13 2 15   12,[2]            
  10_1_0_2_1_0_4_0_2 13 31 15   12,[2]            
Line: 716 to 715
 
  10_1_0_3_4_0_1_0_0_0_1 11 15 15   10,[2]   a 10      
  10_1_0_3_4_0_2_0_0 10 11726 11   9,[2]            
  10_1_0_3_5_0_0_0_1 10 776 12   9,[2]   a 10, #2      
Changed:
<
<
  10_1_0_3_6_0_0_0_0 9 5697 10   8,[2]   f 9      
>
>
  10_1_0_3_6_0_0_0_0 9 5697 10   8,[2]            
 
  10_1_0_4_0_0_0_0_5 14 3 15   13,[2]            
  10_1_0_4_0_0_2_0_3 13 1 15   12,[2]       *    
  10_1_0_4_0_0_4_0_1 12 83 13   11,[2]            
Line: 738 to 737
 
  10_1_0_5_2_0_1_0_0_0_1 11 1 15   10,[2]   a 10 *    
  10_1_0_5_2_0_2_0_0 10 2559 12   9,[2]            
  10_1_0_5_3_0_0_0_1 10 944 12   9,[2]   a 10, #4      
Changed:
<
<
  10_1_0_5_4_0_0_0_0 9 7808 10   8,[2]   f 9      
>
>
  10_1_0_5_4_0_0_0_0 9 7808 10   8,[2]            
 
  10_1_0_6_0_0_2_0_1 11 395 13   10,[2]            
  10_1_0_6_1_0_0_0_2 11 47 14   10,[2]            
  10_1_0_6_1_0_2_0_0 10 2213 11   9,[2]            
  10_1_0_6_2_0_0_0_1 10 88 14   9,[2]            
  10_1_0_6_3_0_0_0_0 9 263 11   8,[2]            
Changed:
<
<
  10_1_0_9_0_0_0_0_0 9 712 10   9,[] Z f 9      
>
>
  10_1_0_9_0_0_0_0_0 9 712 10   9,[] Z          
 
  10_1_1_0_1_0_7_0_0 12 6 15   11,[2]            
  10_1_1_0_2_0_5_0_1 12 58 14   11,[2]            
  10_1_1_0_3_0_3_0_2 12 97 14   11,[2]            
Line: 1269 to 1268
 
  10_2_6_2_0_0_0_0_0 5 27283 10   4,[2]            
  10_2_7_0_0_0_0_0_0_0_1 6 3 15   5,[2]   a 10      
  10_2_7_0_0_0_1_0_0 5 26373 10   4,[2]            
Changed:
<
<
  10_2_8_0_0_0_0_0_0 4 269194 6   3,[2]   f 8, N5      
>
>
  10_2_8_0_0_0_0_0_0 4 269194 6   3,[2]            
 
  10_3_0_0_3_0_4_0_0 9 27 14   8,[2]   b 10, #14      
  10_3_0_0_4_0_2_0_1 9 39 14   8,[2]   b 10, #25      
  10_3_0_0_5_0_0_0_2 9 2 15   8,[2]            
 
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