{"@context":"http://iiif.io/api/presentation/2/context.json","@type":"sc:Manifest","@id":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/manifest","label":"Monotone Retracts and Some Characterizations of Dendrites","metadata":[{"label":"Title","value":"Monotone Retracts and Some Characterizations of Dendrites"},{"label":"Collection","value":["Mathematics Faculty Publications"]},{"label":"Relation","value":"mth"},{"label":"Author","value":"G. R. Gordh, Lewis Lum"},{"label":"Journal Title","value":"Proceedings of the American Mathematical Society"},{"label":"Abstract","value":"Let M be a metric continuum containing a fixed point p. The following conditions are shown to be equivalent. (i) M is a dendrite. (ii) Each subcontinuum of M is a monotone retract of M. (iii) M is arcwise connected and each subcontinuum of M containing p is a monotone retract of M."},{"label":"Volume","value":"59"},{"label":"Issue","value":"1"},{"label":"Publication Date","value":"D:00 M:08 Y:1976"},{"label":"Publication Information","value":"First published in Proceedings of the American Mathematical Sociey in 1976, published by the American Mathematical Society."}],"description":"Monotone Retracts and Some Characterizations of Dendrites","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_1","@type":"sc:Canvas","label":"Monotone Retracts and Some Characterizations of Dendrites-2","height":1508,"width":951,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/61043ed8-8365-4185-bfb3-888338cb4526/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/61043ed8-8365-4185-bfb3-888338cb4526","profile":"http://iiif.io/api/image/2/level2.json","tiles":[{"width":512,"scaleFactors":[1,2,4]}]},"height":1508,"width":951},"on":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_1","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/61043ed8-8365-4185-bfb3-888338cb4526/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_2","@type":"sc:Canvas","label":"Monotone Retracts and Some Characterizations of Dendrites-3","height":1508,"width":951,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/abf7199e-3893-45d8-9c85-6d7400617a4b/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/abf7199e-3893-45d8-9c85-6d7400617a4b","profile":"http://iiif.io/api/image/2/level2.json"},"height":1508,"width":951},"on":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_2","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/abf7199e-3893-45d8-9c85-6d7400617a4b/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_3","@type":"sc:Canvas","label":"Monotone Retracts and Some Characterizations of Dendrites-4","height":1508,"width":951,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/1a20f0dd-8f3b-4af8-b514-5706994b6b88/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/1a20f0dd-8f3b-4af8-b514-5706994b6b88","profile":"http://iiif.io/api/image/2/level2.json"},"height":1508,"width":951},"on":"https://iiif.quartexcollections.com/portland/iiif/f2a21ece-9b96-4d43-b0a2-36a8b2386d03/canvas/_3","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/1a20f0dd-8f3b-4af8-b514-5706994b6b88/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}}]}],"thumbnail":"https://iiif.quartexcollections.com/portland/iiif/61043ed8-8365-4185-bfb3-888338cb4526/full/300,300/0/default.jpg","logo":"https://iiif.quartexcollections.com/portland/iiif/logo"}