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Showing 1 to 7 of 7 for “"covering space"”.
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Characterization and properties of some light-open mappings
… between Peano continua by a sequence of special coverings of the domain. We also prove some covering homotopy theorems for a certain class of finite-to-one open maps and show that a classifying space exists for maps in this class, where point inverses consist of either n points or one point, …
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The Fundamental Group: A Geometric Perspective
… the fundamental group of a topological space, using the concept of loops and loop homotopy to identify a global topological invariant such as a hole or puncture. We then transition to the geometric realm of metric spaces and isometries, demonstrating how the isometry group of a space …
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Public Acceptance of Medical Screening Recommendations, Safety Risks, and Implied Liabilities Requirements for Space Flight Participation
<p>The space tourism industry is preparing to send space flight participants on orbital and suborbital flights. Space flight participants are not professional astronauts and are not subject to the rules and guidelines covering space flight crewmembers. This research addresses public acceptance of …
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1. ΕΠΙΦΑΝΕΙΕΣ ΜΕ ΙΣΟΜΕΤΡΙΚΕΣ ΣΚΙΟΓΡΑΜΜΕΣ 2. ΕΠΙΦΑΝΕΙΕΣ ΜΕ ΙΣΟΜΕΤΡΙΚΕΣ ΓΕΩΔΑΙΣΙΑΚΕΣ
… STRICTLY CONVEX SURFACE EMBEDDED INTHE EUCLIDEAN SPACE E3 OR IN THE HYPERBOLIC SPACE H3. WE SUPPOSE THAT ALL SHADOW-LINES OF M ARE CONGRUENT. THEN M IS A EUCLIDEAN 2-SPHERE OR A HYPERBOLIC 2-SPHERE RESPECTIVELY. ROUGHLY SPEAKING, TO EACH POINT E OF THE SPHERE S2 CORRESPONDS A DIFFERENT SHADOW-LINE …
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Local homeomorphisms
… defined and/or considered, namely, H-connected spaces, induced decompositions, and locally separating sets.</p> <p>We say that a T<sub>2</sub> connected space X is H-connected iff any proper local homeomorphism of a connected space onto X is a homeomorphism. It is shown that H-connectedness is a …
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Three-dimensional manifolds
… (that any two triangulations of the same space are combinatorially equivalent) is true for 3-manifolds. On the other hand, Papakyriakopoulos has proved Dehn's Lemma, and, using ideas of Papakyriakopoulos, Whitehead has proved the Sphere Theorem. As a result of this concerted attack from …
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Homogeneous spaces with the cohomology of sphere products and compact quadrangles
We consider homogeneous spaces G/H with the same rational homotopy as a product of a 1-sphere and a (m+1)-sphere. We show that these spaces have also the rational cohomology of such a sphere product if H is connected and if the quotient has dimension m+2. Furthermore, we prove that if additionally …