Delta-complexes: Structure and Maps

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Covers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.

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Invariance of Domain

Delves into the invariance of domain theorem, proving that a subset homeomorphic to an open subset is open itself, with implications for embeddings and homeomorphisms.

Topology: Open Sets, Compactness, and Connectivity

Explores open sets, compactness, and connectivity in topology, covering topological spaces and compact sets.

Open Balls and Topology in Euclidean Spaces

Covers open balls in Euclidean spaces, their properties, and their significance in topology.

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Covers absolute value, density of rationals, and real line topology.

Boundary Analysis

Explores boundaries in sets, defining them as points not well separated from the set or its complement.

Norms and Distances in Analysis II

Discusses norms, distances, and the classification of open and closed sets in mathematical analysis.

Local structure of totally disconnected locally compact groups I

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Numerical Analysis and Optimization: Concepts of Distance and Subsets

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