A lower bound for higher topological complexity of real projective space
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.11.003
Abstract: We obtain an explicit formula for the best lower bound for the higher topological complexity, TC_k(P^n), of real projective space implied by mod 2 cohomology. read more here.
Keywords: higher topological; real projective; lower bound; complexity real ... See more keywords
Views of Real Projective 3-Space by Stable Maps into the Plane
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DOI: 10.1080/10586458.2016.1142910
Abstract: ABSTRACT Smooth stable maps into the plane enable us to get the graphical views of the source manifolds. In this article, we present two such maps of the real projective 3-space constructed from typical two… read more here.
Keywords: stable maps; projective space; maps plane; real projective ... See more keywords
Three ways to solve critical ϕ4 theory on 4 − dimensional real projective space: Perturbation, bootstrap, and Schwinger–Dyson equation
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x18500495
Abstract: We solve the two-point function of the lowest dimensional scalar operator in the critical $\phi^4$ theory on $4-\epsilon$ dimensional real projective space in three different methods. The first is to use the conventional perturbation theory,… read more here.
Keywords: theory; projective space; real projective; dimensional real ... See more keywords