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Can you suggest some introduction books on the topics below in topology, that have classic problems and exercises?

Topics:

Locally compact spaces. Locally connected spaces. Continua of Peano. Definitions of topological dimension. The concept of the topology curve. Convex subsets and cells.Maps between simplices. Lemma of Sperner and Brouwer's Fixed Point Theorem. Simplicial complexes and polyhedra. Euler’s characteristic of polyhedron.

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