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1 %!TEX root = ../blob1.tex |
1 %!TEX root = ../blob1.tex |
2 |
2 |
3 \section{Basic properties} |
3 \subsection{Basic properties} |
4 \label{sec:basic-properties} |
4 \label{sec:basic-properties} |
5 |
5 |
6 In this section we complete the proofs of Properties 2-4. |
6 In this section we complete the proofs of Properties 2-4. \nn{fix these numbers} |
7 Throughout the paper, where possible, we prove results using Properties 1-4, |
7 Throughout the paper, where possible, we prove results using Properties 1-4, |
8 rather than the actual definition of blob homology. |
8 rather than the actual definition of blob homology. |
9 This allows the possibility of future improvements on or alternatives to our definition. |
9 This allows the possibility of future improvements on or alternatives to our definition. |
10 In fact, we hope that there may be a characterization of the blob complex in |
10 In fact, we hope that there may be a characterization of the blob complex in |
11 terms of Properties 1-4, but at this point we are unaware of one. |
11 terms of Properties 1-4, but at this point we are unaware of one. |