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Homology and fundamental group of closed ball minus a "T"

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#homology-cohomology #fundamental-groups
243
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Is an open subset of a compact surface with connected boundary completely determined by its fundamental group?

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#general-topology #surfaces #fundamental-groups
3.1k
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Integral homology of real Grassmannian $G(2,4)$

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#algebraic-topology #homology-cohomology #fundamental-groups #grassmannian #schubert-calculus
152
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Showing that a space is not homeomorphic to $\mathbb{R}^4$.

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#general-topology #algebraic-topology #fundamental-groups
996
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Help finding the fundamental group of $S^2 \cup \{xyz=0\}$

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#general-topology #algebraic-topology #fundamental-groups
1.9k
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Does trivial fundamental group imply contractible?

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#general-topology #algebraic-topology #fundamental-groups
241
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Requirement "closed under finite intersection" in Van-Kampen-Theorem

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#algebraic-topology #fundamental-groups
1.4k
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Manifolds with a finite but not trivial fundamental group

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#general-topology #differential-geometry #algebraic-topology #fundamental-groups
2.2k
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The fundamental group of the connected sum of two copies of the real projective plane

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#general-topology #algebraic-topology #fundamental-groups
99
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Covering Space Question

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#algebraic-topology #covering-spaces #fundamental-groups
632
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Finding holes in a non-simply connected open subset of $\mathbb{C}$

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#complex-analysis #algebraic-topology #fundamental-groups
300
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what are fundamental groups of (almost) complex manifolds?

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#differential-geometry #complex-geometry #fundamental-groups #almost-complex
11.1k
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Deck transformations of universal cover are isomorphic to the fundamental group - explicitly

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#algebraic-topology #covering-spaces #fundamental-groups
857
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Extending to a disc means fundamental group is trivial

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#algebraic-topology #fundamental-groups
375
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about the fundamental group

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#algebraic-topology #fundamental-groups

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