Dunce hat In topology, the dunce hat is a compact topological space formed by taking a solid triangle and gluing all three sides together, with the orientation of one side reversed. The dunce cap has long been a visual symbol of idiocy and punishment, but was once seen as something closer to a wizard’s hat. Alternatively, note that the dunce hat is the CW-complex obtained by gluing the boundary of a 2-cell onto the circle. Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!Learn a new word every day. Origin Mid 19th century; earliest use found in Queer Characters. Dunce hat is the usual form in U.S. English and dunce's hat the more common form in British English.

Dunce definition, a dull-witted, stupid, or ignorant person; dolt. The hope was that no one would want to be labelled the "dunce" in the class, even for a sho… These example sentences are selected automatically from various online news sources to reflect current usage of the word 'dunce cap.' A conical hat one is forced to wear to indicate he is a dunce.The topological space obtained by identifying the sides comprising the boundary of a triangle, two sides with consistent orientation and the third with the reverse orientation.In topology, the dunce hat is a compact topological space formed by taking a solid triangle and gluing all three sides together, with the orientation of one side reversed. Simply gluing two sides oriented in the same direction would yield a cone much like the layman's dunce cap, but the gluing of the third side results in identifying the base of the cap with a line joining the base to the point. : a conical cap formerly used as a punishment for slow learners at school — called also dunce's cap Examples of dunce cap in a Sentence Recent Examples on the Web If my …
This observation became known as the Zeeman conjecture and was shown by Zeeman to imply the Poincaré conjecture.The numerical value of dunce hat in Chaldean Numerology is: The numerical value of dunce hat in Pythagorean Numerology is: We're doing our best to make sure our content is useful, accurate and safe.Thanks for your vote! Contractibility can be easily seen by noting that the dunce hat embeds in the 3-ball and the 3-ball deformation retracts onto the dunce hat. dunce cap A pointed hat that a student deemed lazy, stupid, or incompetent was once forced to wear. dunce (dŭns) n. A stupid person; a dolt. These days, the phrase is typically used humorously to evoke the image without an actual hat. Did I just say that 2+2=5? By contrast, it is not collapsible because it does not have a free face. We truly appreciate your support.Get instant definitions for any word that hits you anywhere on the web!Get instant definitions for any word that hits you anywhere on the web! Delivered to your inbox!If my students are willing to share their secrets in their writing and to invite me into their homes over Zoom, an occasional Xi’s father was purged, and Xi was sent to the countryside, forced to dig trenches and wear a metal Not all residents were on board with punishing the mayor with a sort of sartorial The gluing map is homotopic to the identity map on the circle and so the complex is homotopy equivalent to the disc. Frequently the "dunce" was made to stand in the corner, facing the wall. The dunce hat is contractible, but not collapsible.
See more. Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. In popular culture, it is typically made of paper and often marked with a D or the word "dunce", and given to unruly schoolchildrento wear. [After John Duns Scotuswhose writings and philosophy were ridiculed in the 16th century.] A dunce cap, also variously known as a dunce hat, dunce's cap or dunce's hat, is a pointed hat, formerly used as an article of discipline in schools in Europe and the United States. The name is due to E. C. Zeeman, who observed that any contractible 2-complex after taking the Cartesian product with the closed unit interval seemed to be collapsible.


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