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These blocks are then locally completed by adding neighboring syntenic homologs that are not reciprocal best hits (>30% similarity over 50% of the smallest protein).
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However, we give the following examples of spaces which are not locally complete but the condition on local completeness of some related subsets is satisfied.
Assuming that is a locally complete locally convex space, the condition on local completeness of some related subsets is automatically satisfied.
We follow the local close world assumption (LCWA) [20], assuming that G is locally complete, i.e., either G includes the complete neighbors of a node for any edge type, or it has no information about these neighbors.
Hence, if is locally complete, then is locally complete.
If the set is locally complete, then is locally complete and if is locally complete, then is locally complete.
(A6 The set is locally complete.
If or is locally complete, then is locally complete, so is locally complete.
Also, the set is not locally complete.
Hence, this set is locally complete.
Consequently, X is locally complete as well, as a closed subset of a locally complete space.
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