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- W4313495280 abstract "In this paper, we deal with the first and second widths of the real projective space <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper R double-struck upper P Superscript n> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> <mml:mi mathvariant=double-struck>P</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {RP}^{n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> ranging from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=4> <mml:semantics> <mml:mn>4</mml:mn> <mml:annotation encoding=application/x-tex>4</mml:annotation> </mml:semantics> </mml:math> </inline-formula> to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=7> <mml:semantics> <mml:mn>7</mml:mn> <mml:annotation encoding=application/x-tex>7</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and for this we used some tools from the Almgren-Pitts min-max theory. In a recent paper, Ramirez-Luna computed the first width of the real projective spaces, and, at the same time, we obtained optimal sweepouts realizing the first and second widths of those spaces." @default.
- W4313495280 created "2023-01-06" @default.
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- W4313495280 date "2023-04-13" @default.
- W4313495280 modified "2023-10-16" @default.
- W4313495280 title "The first and second widths of the real projective space" @default.
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- W4313495280 doi "https://doi.org/10.1090/proc/16388" @default.
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