authors call a map f {\displaystyle f} proper if it is continuous and closed with compact fibers; that is if it is a continuous closed map and the preimage...

Look up proper or propriety in Wiktionary, the free dictionary. Proper may refer to: Proper map, in topology, a property of continuous function between...

algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces. Some authors call a proper variety over a...

(essentially arbitrary) topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in analytic geometry...

the Middle Ages and can be found in numerous historical maps until World War I. Lithuania proper is sometimes also called Lithuania Major, particularly...

proper names are proper nouns: Peter and Africa are both proper names and proper nouns; but Peter the Great and South Africa, while they are proper names...

{\displaystyle N} are smooth manifolds, is a surjective submersion, and a proper map (in particular, this condition is always satisfied if M is compact), then...

redirect targets Perfect map – Continuous closed surjective map, each of whose fibers are also compact sets Proper map – Map between topological spaces...

via the hard Lefschetz theorem which gives isomorphisms, for a smooth proper map f : X → Y {\displaystyle f:X\to Y} of relative dimension d between two...

classified using the same criteria. Cities may be defined as the cities proper, the extent of their urban area, or their metropolitan regions. A city can...

In relativity theory, proper acceleration is the physical acceleration (i.e., measurable acceleration as by an accelerometer) experienced by an object...

been extended by Navarro & Navarro (2017) to the situation where f is a proper map between two smooth schemes. Generalisations of the theorem can be made...

China proper, also called Inner China, are terms used primarily in the West in reference to the traditional "core" regions of China centered in the southeast...

spacetime, proper velocity is the ratio between distance traveled relative to a reference map frame (used to define simultaneity) and proper time τ elapsed...

a proper map if every fiber is a compact subspace of its domain. However, many authors use other non-equivalent competing definitions of "proper map" so...

the proper motion on the celestial sphere (with 0 degrees meaning the motion is north, 90 degrees meaning the motion is east, (left on most sky maps and...

continuously on X. Then the quotient map from X to X/G is a perfect map. Perfect maps are proper. Surjective proper maps are perfect, provided the topology...

projection X × Y → Y {\displaystyle X\times Y\to Y} is a closed mapping (see proper map). Every open cover linearly ordered by subset inclusion contains X. Bourbaki...

(s)\to U{\text{ is proper}}\}} for every open subset U {\displaystyle U} of Y {\displaystyle Y} . Here, the notion of a proper map of spaces is unambiguous...

Sweden proper (Swedish: Egentliga Sverige, literally Actual Sweden) is a term used to distinguish those territories that were fully integrated into the...

how the Chern class behaves under pushforward of vector bundles under a proper map of arithmetic varieties. A complete proof of this theorem was only published...

is also a way of decoding the message and symbols of the map and placing it within its proper spatial and cultural context, as well as identifying changes...

world maps date to classical antiquity, the oldest examples of the 6th to 5th centuries BCE still based on the flat Earth paradigm. World maps assuming...

models are wrong (but some are useful)," which emphasizes the proper framing of recognizing map–territory differences—that is, how and why they are important...

lines were included for the first time in 1933 with Harry Beck's first proper Tube map, the portion of the Metropolitan line beyond Rickmansworth did not...

Homotopy lifting property) and the valuative criteria of separated and proper maps of schemes are formulated in terms of existence and (in the last case)...

K)\subseteq X'\setminus K'.} The composition of a bijective proper map followed by a coercive map is coercive. An (extended valued) function f : R n → R ∪...

Without proper rendering support, you may see question marks, boxes, or other symbols instead of the intended characters. Transport and Map Symbols is...

Similarly, excision axiom can be modified to proper excision axiom i.e. the excision map is a proper map. One of the most important property of this Alexander...

any non-empty open simply connected proper subset of C {\displaystyle \mathbb {C} } admits a bijective conformal map to the open unit disk in C {\displaystyle...