Maps of the Sorgenfrey line View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2011-04

AUTHORS

N. V. Velichko

ABSTRACT

Three theorems are presented concerning continuous maps of the Sorgenfrey line S onto the real line ℝ. The first theorem proves the existence of an open map, the second theorem establishes the nonexistence of an open countably-multiple map, and the third theorem states the impossibility of a weakly closed map.

PAGES

287-291

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0081543811020209

DOI

http://dx.doi.org/10.1134/s0081543811020209

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038270631


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