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This is a list of particular manifolds, by Wikipedia page. See also list of geometric topology topics . For categorical listings see Category:Manifolds and its subcategories.
This list may not reflect recent changes. Manifold * List of manifolds; 0–9. 5-manifold; A. Acceleration (differential geometry) Affine manifold; Algebraic manifold;
This page was last edited on 15 December 2022, at 22:19 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
The Rapid City, SD metropolitan area, as defined by the United States Census Bureau.Anchored by the city of Rapid City, the area corresponds to the entirety of Pennington and Meade counties in the state of South Dakota, though the Rapid City market area extends well beyond those counties and into Nebraska, Montana, Wyoming, and North Dakota.
Rapid City is the county seat of Pennington County, South Dakota, United States. [10] It is the second-most populous city in the state, after Sioux Falls. It is located on the eastern slope of the Black Hills in western South Dakota and was named after Rapid Creek, where the settlement developed. The population was 74,703 as of the 2020 census. [6]
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There are three main types of structures important on manifolds. The foundational geometric structures are piecewise linear, mostly studied in geometric topology, and smooth manifold structures on a given topological manifold, which are the concern of differential topology as far as classification goes. Building on a smooth structure, there are:
I-190 was opened in 1962 to connect Rapid City to the recently completed I-90 bypass, which was built outside of Rapid City's northern boundaries. [ 6 ] The interchange with I-90 was rebuilt from 2000 to 2001, changing from a directional T interchange with a left exit to a trumpet interchange.