Question
For a given category, these objects name an equivalent subcategory where no two distinct objects are isomorphic. For 10 points each:
[10h] Identify these objects, which name the constituent spaces of the sequence of topological spaces defining a CW complex.
ANSWER: skeletons [accept skeletal category; accept skeleta; accept k or n-skeletons]
[10m] Real examples of one of these spaces admit a CW complex structure where lower dimensional examples of these spaces make up each k-skeleton of the complex. The Fano plane is the smallest finite example of a 2-dimensional example of these spaces.
ANSWER: projective spaces [accept projective planes or projective lines]
[10e] This shape exemplifies a one-dimensional CW complex because it consists of a single point attached to the unit 1-ball at both ends. In the complex plane, this shape is traced out by the points e to the i theta.
ANSWER: circle [accept S1 or 1-sphere; reject “1-ball”]
<Science - Other Science - Math>
Summary
| 2024 ARGOS @ Brandeis | 03/22/2025 | Y | 3 | 16.67 | 100% | 67% | 0% |
| 2024 ARGOS @ Chicago | 11/23/2024 | Y | 6 | 10.00 | 83% | 17% | 0% |
| 2024 ARGOS @ Christ's College | 12/14/2024 | Y | 3 | 13.33 | 100% | 33% | 0% |
| 2024 ARGOS @ Columbia | 11/23/2024 | Y | 3 | 6.67 | 67% | 0% | 0% |
| 2024 ARGOS @ McMaster | 11/17/2024 | Y | 5 | 10.00 | 80% | 20% | 0% |
| 2024 ARGOS @ Stanford | 02/22/2025 | Y | 3 | 13.33 | 100% | 33% | 0% |
| 2024 ARGOS Online | 03/22/2025 | Y | 3 | 20.00 | 100% | 100% | 0% |
Data
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| BHSU ReFantazio | WashU | 0 | 0 | 10 | 10 |