Immersion Dimension and Topological complexity of projective product spaces Jes´ us Gonz´alez

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Chapter 5 BASIC TOPOLOGY In this chapter, we will study the basic topological properties of the set of real numbers. This study will be generalized in the second part of the course for larger spaces, so the goal at this

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Chapter 1 Topological spaces 1.1 The definition of a topological space

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Sober Spaces and Continuations Paul Taylor August 5, 2003 Abstract A topological space is sober if it has exactly the points that are dictated by its open sets. We explain the analogy with the way in which computational

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Topology Qualifying Exam Topics Point set topology Topological spaces: axioms of a topology, open and closed sets, basis for a topology, continuous maps, homeomorphisms

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On the Local Behavior of Spaces of Natural Images Gunnar Carlsson, Tigran Ishkhanov, Vin de Silva, Afra Zomorodian∗ Abstract In this study we concentrate on qualitative topological analysis of the local behavior of the

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Uniform Approximation of Topological Spaces Achim Jung∗ Philipp S¨ underhauf†

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arXiv:0901.0137v3 [math.AT] 21 FebCOMMUTING ELEMENTS, SIMPLICIAL SPACES AND FILTRATIONS OF CLASSIFYING SPACES A. ADEM∗ , F. R. COHEN∗∗ , AND E. TORRES GIESE Abstract. Let G denote a topological group. In thi

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Representing actions and functional properties in conceptual spaces Peter Gärdenfors Abstract The book Conceptual Spaces (Gärdenforspresents a theory of concepts based on geometrical and topological structures i

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Homotopy theory of moment-angle complexes based on joint work with Jelena Grbic, Stephen Theriault and Jie Wu Taras Panov Lomonosov Moscow State University Torus Actions: Topology, Geometry and Number Theory

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• Mathematics
• Homotopy theory
• Topological spaces
• Homology theory
• Homological algebra
• Stanley–Reisner ring
• CW complex
• Simplicial complex
• Homotopy
• Topology
• Abstract algebra
• Algebraic topology