Matches in SemOpenAlex for { <https://semopenalex.org/work/W577992087> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W577992087 abstract "An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). In other cases, such as in set theory, the natural definitions may yield undesired and even contradictory results, and it can be necessary to use a more complicated formalization. The notion of a curve falls in the latter category. While it is intuitively clear what a curve is – line segments, empty geometric shapes, and squiggles like this: – it is not immediately clear how to make a general definition of curves. Their most obvious characteristic is that they have no width, so one idea may be to view curves as what can be drawn with a thin pen. This definition, however, has the weakness that even such a line has the ability to completely fill a square, making it a bad definition of curves. Today curves are generally defined by the condition of having no width, that is, being one-dimensional, together with the conditions of being compact and connected, to avoid strange cases. In this thesis we investigate this definition and a few examples of curves." @default.
- W577992087 created "2016-06-24" @default.
- W577992087 creator A5052163345 @default.
- W577992087 date "2014-01-01" @default.
- W577992087 modified "2023-09-27" @default.
- W577992087 title "Remarkable curves in the Euclidean plane" @default.
- W577992087 cites W125280903 @default.
- W577992087 hasPublicationYear "2014" @default.
- W577992087 type Work @default.
- W577992087 sameAs 577992087 @default.
- W577992087 citedByCount "0" @default.
- W577992087 crossrefType "journal-article" @default.
- W577992087 hasAuthorship W577992087A5052163345 @default.
- W577992087 hasConcept C129782007 @default.
- W577992087 hasConcept C177264268 @default.
- W577992087 hasConcept C17825722 @default.
- W577992087 hasConcept C18648836 @default.
- W577992087 hasConcept C198352243 @default.
- W577992087 hasConcept C199343813 @default.
- W577992087 hasConcept C199360897 @default.
- W577992087 hasConcept C202444582 @default.
- W577992087 hasConcept C2524010 @default.
- W577992087 hasConcept C2777686260 @default.
- W577992087 hasConcept C33923547 @default.
- W577992087 hasConcept C41008148 @default.
- W577992087 hasConcept C53622353 @default.
- W577992087 hasConcept C70251129 @default.
- W577992087 hasConcept C71924100 @default.
- W577992087 hasConceptScore W577992087C129782007 @default.
- W577992087 hasConceptScore W577992087C177264268 @default.
- W577992087 hasConceptScore W577992087C17825722 @default.
- W577992087 hasConceptScore W577992087C18648836 @default.
- W577992087 hasConceptScore W577992087C198352243 @default.
- W577992087 hasConceptScore W577992087C199343813 @default.
- W577992087 hasConceptScore W577992087C199360897 @default.
- W577992087 hasConceptScore W577992087C202444582 @default.
- W577992087 hasConceptScore W577992087C2524010 @default.
- W577992087 hasConceptScore W577992087C2777686260 @default.
- W577992087 hasConceptScore W577992087C33923547 @default.
- W577992087 hasConceptScore W577992087C41008148 @default.
- W577992087 hasConceptScore W577992087C53622353 @default.
- W577992087 hasConceptScore W577992087C70251129 @default.
- W577992087 hasConceptScore W577992087C71924100 @default.
- W577992087 hasLocation W5779920871 @default.
- W577992087 hasOpenAccess W577992087 @default.
- W577992087 hasPrimaryLocation W5779920871 @default.
- W577992087 hasRelatedWork W100726285 @default.
- W577992087 hasRelatedWork W1549109893 @default.
- W577992087 hasRelatedWork W1591086929 @default.
- W577992087 hasRelatedWork W1593375641 @default.
- W577992087 hasRelatedWork W1597988379 @default.
- W577992087 hasRelatedWork W2035519486 @default.
- W577992087 hasRelatedWork W2046012461 @default.
- W577992087 hasRelatedWork W2063388831 @default.
- W577992087 hasRelatedWork W221786456 @default.
- W577992087 hasRelatedWork W2317849285 @default.
- W577992087 hasRelatedWork W2318839952 @default.
- W577992087 hasRelatedWork W2466232990 @default.
- W577992087 hasRelatedWork W2478222954 @default.
- W577992087 hasRelatedWork W2495641593 @default.
- W577992087 hasRelatedWork W2515013646 @default.
- W577992087 hasRelatedWork W2951555233 @default.
- W577992087 hasRelatedWork W370591165 @default.
- W577992087 hasRelatedWork W73383606 @default.
- W577992087 hasRelatedWork W779667269 @default.
- W577992087 hasRelatedWork W90527024 @default.
- W577992087 isParatext "false" @default.
- W577992087 isRetracted "false" @default.
- W577992087 magId "577992087" @default.
- W577992087 workType "article" @default.