BASIC TOPOLOGY

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Counterfactuals uncover the modular structure of deep generative models (2018, background): “Following a result stated in Armstrong [2013], since Z is compact and the codomain of g M is Hausdorff (because Euclidean), then a continuous (by deﬁnition) and injective g M is an embedding.”
Infinite Hamilton cycles in squares of locally finite graphs (2009, methodology): “Unless otherwise stated, we will be using the terminology of [11] for graph theoretical concepts and that of [1] for topological ones.”
TopNet: Structural Point Cloud Decoder (2019, methodology): “There exists several equivalent definitions of topological spaces, and for our purposes, we use the following [2]:”
The Expressive Power of a Class of Normalizing Flow Models (2020, background): “Obviously, due to their invertible nature, a normalizing flow can only transform a distribution to one with a homeomorphic support [Armstrong, 2013].”
High order edge elements on simplicial meshes (2007, unknown): “, [4, 21]) and explain the adopted notation.”
Differential Geometry and Lie Groups (2020, background): “For more details, consult Munkres [89], Massey [78, 79], Armstrong [5], or Tu [112].”
Coverage and hole-detection in sensor networks via homology (2005, methodology): “For further reading of various degrees of depth, see [10], [11], [12]; for an introduction in the context of applications and computations see the recent text by Kaczynski et al.”