scholarly journals Topological manifold bundles and the $A$-theory assembly map

2020 ◽  
Vol 148 (9) ◽  
pp. 3787-3799
Author(s):  
George Raptis ◽  
Wolfgang Steimle
Keyword(s):  
Topological Manifold ◽  
Assembly Map

scholarly journals Multiplicative structures and the twisted Baum-Connes assembly map

2017 ◽  
Vol 369 (7) ◽  
pp. 5241-5269 ◽  
Author(s):  
Noé Bárcenas ◽  
Paulo Carrillo Rouse ◽  
Mario Velásquez
Keyword(s):  
Assembly Map ◽  
Multiplicative Structures

scholarly journals Embedding Topological $n$-Manifolds into Compact Nonstandard Topological $n$-Manifolds with Boundary

2021 ◽  
Author(s):  
Yu-Lin Chou
Keyword(s):  
Topological Manifold ◽  
Manifolds With Boundary ◽  
Manifold With Boundary ◽  
Topological Manifolds ◽  
One Point Compactification ◽  
Main Message

We show as a main message that there is a simple dimension-preserving way to openly and densely embed every topological manifold into a compact ``nonstandard'' topological manifold with boundary.This class of ``nonstandard'' topological manifolds with boundary contains the usual topological manifolds with boundary.In particular,the Alexandroff one-point compactification of every given topological $n$-manifold is a ``nonstandard'' topological $n$-manifold with boundary.

scholarly journals DUALIZING THE COARSE ASSEMBLY MAP

2005 ◽  
Vol 5 (02) ◽  
pp. 161 ◽  
Author(s):  
Heath Emerson ◽  
Ralf Meyer
Keyword(s):  
Assembly Map

scholarly journals KK-Theory of C*-Categories and the Analytic Assembly Map

K-Theory ◽  
2002 ◽  
Vol 26 (4) ◽  
pp. 307-344 ◽  
Author(s):  
Paul D. Mitchener
Keyword(s):  
Assembly Map

New 30S ribosomal assembly map

Nature ◽  
1974 ◽  
Vol 250 (5468) ◽  
pp. 621-622
Author(s):  
Keyword(s):  
Ribosomal Assembly ◽  
Assembly Map

scholarly journals Smoothing a topological manifold

2002 ◽  
Vol 124 (3) ◽  
pp. 487-503 ◽  
Author(s):  
Charles C. Pugh
Keyword(s):  
Topological Manifold

scholarly journals Tubular neighbourhoods for submersions of topological manifolds

1973 ◽  
Vol 8 (1) ◽  
pp. 93-102
Author(s):  
David B. Gauld
Keyword(s):  
Topological Manifold ◽  
Main Application ◽  
Compact Neighbourhood ◽  
Topological Manifolds

Let φ: M → N be a submersion from a metrizable manifold to any (topological) manifold, let B ⊂ M be compact, y є N and C ⊂ φ−1(y) be a compact neighbourhood (in φ−1(y)) of B ∩ φ−1(y). It is proven that there is a neighbourhood U of y in N and an embedding ε: U × C → M such that φε is projection on the first factor, ε(y, x) = x for each x ε C, and B ∩ φ−1 (U) ⊂ ε(U×C). The main application given is to topological foliations, it being shown that if C is a compact regular leaf of a foliation F on M then every neighbourhood of C contains a saturated neighbourhood which is the union of compact regular leaves of F.

scholarly journals Quotient manifolds of flows

2017 ◽  
Vol 26 (02) ◽  
pp. 1740005 ◽  
Author(s):  
Robert E. Gompf
Keyword(s):  
Euclidean Space ◽  
Vector Fields ◽  
Topological Manifold ◽  
Fundamental Groups ◽  
Smooth Manifolds ◽  
Euclidean Spaces ◽  
Orbit Spaces ◽  
Quotient Maps ◽  
Fixed Dimension

This paper investigates which smooth manifolds arise as quotients (orbit spaces) of flows of vector fields. Such quotient maps were already known to be surjective on fundamental groups, but this paper shows that every epimorphism of countably presented groups is induced by the quotient map of some flow, and that higher homology can also be controlled. Manifolds of fixed dimension arising as quotients of flows on Euclidean space realize all even (and some odd) intersection pairings, and all homotopy spheres of dimension at least two arise in this manner. Most Euclidean spaces of dimensions five and higher have families of topologically equivalent but smoothly inequivalent flows with quotient homeomorphic to a manifold with flexibly chosen homology. For [Formula: see text], there is a topological flow on (ℝ2r+1 − 8 points) × ℝm that is unsmoothable, although smoothable near each orbit, with quotient an unsmoothable topological manifold.

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