Results 61 to 70 of about 1,153 (175)
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane
, 2001 The closure operations on Z × Z introduced and studied in the paper generalize the Khalimsky topology, which is commonly used as a basic topological structure in digital topology nowadays.
Šlapal, Josef
core +1 more source
Some Lemmas for the Jordan Curve Theorem
, 2003 I present some miscellaneous simple facts that are still missing in the library. The only common feature is that, most of them, were needed as lemmas in the proof of the Jordan curve ...
Andrzej Trybulec
core
Teoremas de Jordan y Brouwer: demostraciones elementales [PDF]
, 2022 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Ignasi Mundet i Riera[en] In mathematics, an elementary proof is one that uses only basic techniques. In this work we provide the elementary
Riera Vaca, Gabriela
core
On the theorem converse to Jordan's curve theorem
, 2000 Theorem converse to Jordan's curve theorem says that {\it if a compact set $K$ has two complementary domains in $R^{2}$, from each of which it is at every point accessible, it is a simple closed curve}. We show that the requirement of this theorem that {\it all} points of $K$ were accessible from {\it both} complementary domains is surplus and prove ...
openaire +3 more sources
The Traveling Salesman Theorem for Jordan Curves in Hilbert Space
, 2022 Given a metric space $X$, an Analyst's Traveling Salesman Theorem for $X$ gives a quantitative relationship between the length of a shortest curve containing any subset $E\subseteq X$ and a multi-scale sum measuring the ``flatness'' of $E$.
Krandel, Jared
core
A Conformal Proof of a Jordan Curve Problem
, 1969 The following theorem appears in [1].Let R be a closed simply connected region of the inversive plane bounded by a Jordan curve J, and let J be divided into three closed arcs A1, A2, A3.
G. Spoar, N.D. Lane
core +1 more source
Surface Embeddability of Graphs via Reductions [PDF]
, 2011 On the basis of reductions, polyhedral forms of Jordan axiom on closed curve in the plane are extended to establish characterizations for the surface embeddability of a ...
Liu, Yanpei
core +1 more source
AN ELEMENTARY GEOMETRIC NONSTANDARD PROOF OF THE JORDAN CURVE THEOREM
, 1994 We give an elementary proof, using nonstandard analysis, of the Jordan curve theorem. We also give a nonstandard generalization of the theorem. The proof is purely geometrical in character, without any use of topological concepts and is based on a ...
CHUAQUI, R, BERTOGLIO, N
core
Digital Jordan curves — a graph-theoretical approach to a topological theorem
, 1992 We give a proof of a graph-theoretical Jordan curve theorem which generalizes both the topological results of Khalimsky et al.
Wilson, Richard G., Neumann-Lara, Victor
core +1 more source