mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of covering...

mathematics, a locally simply connected space is a topological space that admits a basis of simply connected sets. Every locally simply connected space is also...

all points x. Locally simply connected space Semi-locally simply connected It is conjectured that the Mandelbrot set is locally connected Munkres 2000...

neighborhoods U that is simply connected. Semi-locally simply connected. A space X is semi-locally simply connected if every point has a local base of neighborhoods...

not semi-locally simply connected at ( 0 , 0 ) {\displaystyle (0,0)} . Therefore, H {\displaystyle \mathbb {H} } does not have a simply connected covering...

classes of paths. Moreover, if X is path-connected, locally path-connected and semi-locally simply connected (so X has a universal cover), then every...

the definition of locally simply connected, the homotopy must live in U.) Semi-open A subset A of a topological space X is called semi-open if A ⊆ Cl X...

Simplicial approximation theorem Nerve of an open covering Simply connected Semi-locally simply connected Path (topology) Homotopy Homotopy lifting property Pointed...

that M is locally Riemannian symmetric if and only if its curvature tensor is covariantly constant, and furthermore that every simply connected, complete...

path-connected covering spaces of X. In particular, if X is semi-locally simply connected, then for every subgroup G of π1(X), there is a covering space...

irreducible is called integral. For locally Noetherian schemes, to be integral is equivalent to being a connected scheme that is covered by the spectra...

cover of any connected Lie group is a simply connected Lie group, and conversely any connected Lie group is a quotient of a simply connected Lie group by...

In mathematics, the uniformization theorem states that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces:...

complete simply-connected Riemannian manifolds of nonpositive sectional curvature. Important examples of Hadamard manifolds are simply connected nonpositively...

arithmetic questions on semi-simple algebraic groups. He proved the "strong approximation" property for simply connected semi-simple groups over global...

Cartan-Iwasawa-Malcev theorem asserts that every connected Lie group (and indeed every connected locally compact group) admits maximal compact subgroups...

Furthermore, every connected locally compact group is an inverse limit of connected Lie groups. At the other extreme, a totally disconnected locally compact group...

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The action by deck transformations of the fundamental group of a locally simply connected space on a universal cover is wandering and free. Such actions...

complete, simply-connected, non-positively curved Riemannian manifold. Cartan–Hadamard theorem is the statement that a connected, simply connected complete...

Central dialects (most notably in the name of province of Quảng Nam, known locally as Quảng Nôm). There are many ways to write the name chữ Nôm in chữ Nôm...

In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space...

on a connected open set is determined by its restriction to any nonempty open subset. In mathematics, a conformal map is a function that locally preserves...

satisfies the above conditions 1 and 2. In other words, an order ideal is simply a lower set. Similarly, an ideal can also be defined as a "directed lower...

This differs from usage in Riemannian geometry, where geodesics are only locally shortest paths. Some authors define geodesics in metric spaces in the same...

important seat of ribbon-making in the UK. In this industry it competed locally with Norwich and Leicester and internationally with Saint-Étienne in France...

differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold...

technology. Defining the Internet of things as "simply the point in time when more 'things or objects' were connected to the Internet than people", Cisco Systems...

laid by the Royal Württemberg State Railways connected the port to Ravensburg in 1847. Heilbronn was connected in 1850, and a ferry to Romanshorn in Switzerland...

be one of the corporation's primary goals. The sequel is planned to be connected with the upcoming Harry Potter reboot television series. Best-selling...