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Mathematical Topology
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Summary
Mathematical Topology
is a branch of mathematics focused on the
Properties Of Space
that are preserved under
Continuous transformations
, such as
Stretching or bending
, but not
Tearing or gluing
. It provides a rigorous framework for analyzing the
Qualitative aspects
of
Shapes and spaces
, such as connectedness and compactness, without concern for
Exact measurements
or distances.
Concepts
Topological Space
Homeomorphism
Continuous Function
Open And Closed Sets
Basis For A Topology
Compactness
Connectedness
Metric Space
Hausdorff Space
Manifold
Homotopy
Fundamental Group
Covering Space
Topological Invariants
Knot Theory
Knot
Relevant Degrees
Geometry 100%
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