dendroid

Definitions

  • WordNet 3.6
    • adj dendroid resembling a tree in form and branching structure "arborescent coral found off the coast of Bermuda","dendriform sponges"
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Webster's Revised Unabridged Dictionary
    • a Dendroid Resembling a shrub or tree in form; treelike; branching.
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Century Dictionary and Cyclopedia
    • dendroid Tree-like; dendriform; ramified or arborescent; branching like a tree.
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Chambers's Twentieth Century Dictionary
    • adj Dendroid den′droid having the form of a tree.
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Etymology

Webster's Revised Unabridged Dictionary
Gr. treelike; de`ndron tree + e'i^dos form: cf. F. dendroïde,
Chambers's Twentieth Century Dictionary
Gr. dendron, a tree, and eidos, form.

Usage

In literature:

Locality near Adelaide, now showing gold freely in mammillary and dendroidal form.
"Getting Gold" by J. C. F. Johnson
Dendroid, shaped like a tree.
"The Mushroom, Edible and Otherwise" by M. E. Hard
The sporophores are inclined to be simple, stipitate and dendroid.
"The North American Slime-Moulds" by Thomas H. (Thomas Huston) MacBride
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In news:

"Ferment," the 56-foot tall stainless steel dendroid towering over the lawn at the Nelson-Atkins Museum, evokes many different reactions from those who pass by.
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In science:

Dendroidal sets as models for homotopy operads.
Derived Algebraic Geometry V: Structured Spaces
From operads to dendroidal sets – by Ittay Weiss .
Survey of mathematical foundations of QFT and perturbative string theory
This article reviews the theory of operads and then discusses a powerful presentation in terms of dendroidal sets – the operadic analog of what simplicial sets are for (∞, 1)-categories.
Survey of mathematical foundations of QFT and perturbative string theory
Manka has shown that every λ-dendroid (hereditarily decomposable, hereditarily unicoherent continuum) has the fixed-point property.
Problems from Topology Proceedings
Cook has shown that λ-dendroids are tree-like.
Problems from Topology Proceedings
Kato constructed a chainable continuum X such that C (X ) and 2X are not locally contractible at X ; and a dendroid Y such that C (Y ) is locally contractible at Y but 2Y is not locally contractible at Y . A.
Problems from Topology Proceedings
In dendroids, does this property imply smoothness? 158. (H.
Problems from Topology Proceedings
Dendroids and small retractions onto dendrites.
Problems from Topology Proceedings
These examples are dendroids and thus they are tree-like.
Problems from Topology Proceedings
Later, the contemporary definition of a dendroid as an arcwise connected and hereditarily unicoherent continuum was formulated and commonly accepted because it is much more convenient to work with.
Problems from Topology Proceedings
Recall that if the assumption on the mapping of being a retraction onto a tree T contained in X is omitted, then the answer to the question is affirmative, since each dendroid, being a tree-like continuum, admits for each ε > 0 an ε-mapping onto a tree, see .
Problems from Topology Proceedings
Zbl 0214.49701. , Smal l retractions of smooth dendroids onto trees, Fund.
Problems from Topology Proceedings
These concepts were exploited to obtain some criteria for noncontractibility and nonselectibility of dendroids (i.e., hereditarily unicoherent and arcwise connected continua) as well as for non-existence of means on these curves.
Problems from Topology Proceedings
Stephen Watson, Not al l dendroids have means, Houston J.
Problems from Topology Proceedings
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