IDAGs: A perfect map for any distribution

2005 ◽  
pp. 49-56
Author(s):  
Remco R. Bouckaert
Keyword(s):  
Perfect Map

The myth of the perfect map

2013 ◽  
Vol 217 (2900) ◽  
pp. 5
Keyword(s):  
Perfect Map

Perfect Maps and Epi-Reflective Hulls

1975 ◽  
Vol 27 (1) ◽  
pp. 11-24 ◽  
Author(s):  
Anthony W. Hager
Keyword(s):  
Uniform Spaces ◽  
Compact Spaces ◽  
Perfect Map ◽  
Tychonoff Spaces ◽  
Perfect Maps

The main theorems concern the relation between the - compact spaces and the -regular spaces, and their analogues in uniform spaces. In either of the categories of Tychonoff spaces or uniform spaces, let be a class of spaces, let be the epi-reflective hull of se (closed subspaces of products of members of ), let be the “onto-reflective” hull of (all subspaces of products of members of ), and let r and o be the associated functors. Let be the class of spaces which admit a perfect map into a member of . Then, is epi-reflective (and in Tych, = but in Unif, the equality fails); call the functor p.

Union of Realcompact Spaces and Lindelöf Spaces

1979 ◽  
Vol 31 (6) ◽  
pp. 1247-1268 ◽  
Author(s):  
Akio Kato
Keyword(s):  
Zero Set ◽  
Multiple Points ◽  
Completely Regular ◽  
Perfect Map

All spaces in this paper are completely regular Hausdorff and all maps are continuous onto, unless otherwise stated. The purpose of this paper is to investigate the realcompactness of a space X which contains a Lindelöf space L such that every zero-set Z (in X) disjoint from L is realcompact. We show in § 2 that such a space X is very close to being realcompact (Theorems I, II and III). But in general such a space fails to be realcompact. Indeed, in §§ 3 and 4 the following questions of Mrówka [18, 19] are answered, both in the negative:(Q. 1) If X = L ∪ G where L is Lindelöf closed and G is E-compact, then is X E-compact?(Q. 2) Suppose f:X → Y is a perfect map such that the set M(f) = {y ∊ Y| |f−l(y)| > 1} of multiple points of f is Lindelöf (especially, countable) closed. If X is E-compact, is Y also E-compact?

scholarly journals Critical consideration of problematic questions of stratigraphy and tectonics of the Folded Carpathians and adjacent territories on the pattern of State geological map – 200

2020 ◽  
Vol 1 (182) ◽  
pp. 5-39
Author(s):  
Volodymyr SHLAPINSKY ◽  
Myroslav PAVLYUK ◽  
Myroslav TERNAVSKY
Keyword(s):  
Natural Resources ◽  
Oil And Gas ◽  
The State ◽  
The Carpathians ◽  
Geological Map ◽  
Outer Carpathians ◽  
Perfect Map ◽  
Critical Consideration

The paper gives a critical appreciation of a number of principles containing in materials of the State geological map at a scale of 1 : 200 000 (Carpathian series of sheets) published in 2003–2009. Its scientific and practical value is recognized as a source of knowledge of the structure and natural resources of the Carpathians. At the same time, numerous inaccuracies are noted in the sphere of stratigraphy and tectonics, but revealed in the reviewed work. This was negatively depicted on the quality of geological and tectonical maps of the Folded Carpathians, presented in it, that in its turn may have an influence on the appreciation of the prospects of oil and gas presence in the region, may be not for the best. On the basis of the analysis of considerable amount of factual material, including that one received after the publication of State geological map – 200, the authors have corrected revealed defects. The attention was paid to the possibility to create the latest, more perfect map of the Outer Carpathians at a scale of 1 : 100 000. Its base version is already existent.

On the non-existence of a perfect map from the 2-sphere to the Euclidean plane

2019 ◽  
pp. 125-134 ◽  
Author(s):  
Charalampos Charitos ◽  
Ioannis Papadoperakis
Keyword(s):  
Euclidean Plane ◽  
Perfect Map

scholarly journals There's No Such Thing as the Perfect Map

2015 ◽  
Author(s):  
Giovanni Quattrone ◽  
Licia Capra ◽  
Pasquale De Meo
Keyword(s):  
Perfect Map

The Emperor’s perfect map: leadership by numbers

2016 ◽  
Vol 43 (3) ◽  
pp. 377-391 ◽  
Author(s):  
Amanda Heffernan
Keyword(s):  
Perfect Map

scholarly journals Perfect maps on convergence spaces

1979 ◽  
Vol 20 (3) ◽  
pp. 447-466
Author(s):  
Robert A. Herrmann
Keyword(s):  
Final Section ◽  
Sufficient Conditions ◽  
Topological Spaces ◽  
Convergence Space ◽  
Covering Property ◽  
Convergence Spaces ◽  
Weakly Continuous ◽  
Perfect Map ◽  
Perfect Maps ◽  
Compact Map

The concept of the perfect map on a convergence space (X, q), where q is a convergence function, is introduced and investigated. Such maps are not assumed to be either continuous or surjective. Some nontrivial examples of well known mappings between topological spaces, nontopological pretopological spaces and nonpseudotopological convergence spaces are shown to be perfect in this new sense. Among the numerous results obtained is a covering property for perfectness and the result that such maps are closed, compact, and for surjections almost-compact. Sufficient conditions are given for a compact (respectively almost-compact) map to be perfect. In the final section, a major result shows that if f: (X, q) → (Y, p) is perfect and g: (X, q) → (Z, s) is weakly-continuous into Hausdorff Z, then (f, g): (X, q) → (Y×Z, p×s) is perfect. This result is given numerous applications.

scholarly journals The Cartography and the Spatial Representations: Search by Perfect Map

2014 ◽  
Vol 06 (06) ◽  
pp. 624-635
Author(s):  
Christian Nunes da Silva ◽  
João Marcio Palheta da Silva ◽  
Clay Anderson Nunes Chagas ◽  
Carlos Jorge Nogueira Castro
Keyword(s):  
Spatial Representations ◽  
Perfect Map
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