Sentence examples for branch spaces from inspiring English sources

We also study topological properties of branch spaces.

We also study the existence of σ-disjoint π bases and σ-disjoint bases in branch spaces of trees.

In this paper we investigate representing linearly ordered sets as branch spaces of trees where the trees satisfy certain natural restrictions designed to make them less complicated than the set we are seeking to represent.

We investigate branch spaces of Aronszajn trees, showing that any such branch space is hereditarily paracompact, first-countable, Lindelöf, non-separable, non-metrizable, and provided T does not contain any Souslin subtree, then its branch space is not perfect (i.e., has a closed subset that is not a Gδ-set).

The American Folk Art Museum barely avoided extinction last year when it was forced to sell its ill-suited building on West 53rd Street in Manhattan and retreat to its much smaller branch space at 2 Lincoln Square.

The algorithm and the human pruning resulted in similar average branch spacing.

RMSD in branch spacing between the algorithm and the workers was found to be 13%.

We show that any uncountable order-complete linearly ordered set X can be represented as the branch space of a tree T that is more simple than X and that if X is representable as a branch space, then any Gδ-subset of X is also representable as a branch space.

Pruning branches were identified in the reconstructed trees using a simplified two-step pruning rule; (i) maintain specified branch spacing and (ii) maintain specified branch length.

This is true of precision polymers of varying branch spacing, and the maximum included branch size decreases with increasing branch interval.

The CD3 branches were placed on every 15th or 21st carbon with zero variation in the branch spacing by acyclic diene metathesis polymerization chemistry.