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$\partial I^2/\sim$ is the wedge of two cirlces

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#algebraic-topology #fundamental-groups
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Calculate the fundamental group of $S^1 \cup [0,1]$

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#algebraic-topology #fundamental-groups
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Doubt in proof : homotopic maps induce same homomorphism

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#algebraic-topology #homotopy-theory #fundamental-groups
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Munkres Exercise 70.1

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#proof-verification #algebraic-topology #homotopy-theory #fundamental-groups
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The products of paths in a topological space is associative when they are not normilized?

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#algebraic-topology #homotopy-theory #fundamental-groups
963
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Show that maps of degree one from the circle to itself are homotopic to the identity.

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#algebraic-topology #homotopy-theory #fundamental-groups
142
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Fundamental group of two discs connected by 3 bands

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#proof-verification #algebraic-topology #fundamental-groups
196
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$X \setminus point$ not path-connected implies $X$ simply connected

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#general-topology #algebraic-topology #connectedness #fundamental-groups #path-connected
131
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Universal coverings and fully faithful fiber functors?

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#algebraic-topology #category-theory #covering-spaces #fundamental-groups
135
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Fundamental group of S_3 without curve

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#algebraic-topology #fundamental-groups
504
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Why the only finite fundamental group of compact surfaces are those of $\mathbb{S}^2$ and $\mathbb{RP}^2$?

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#algebraic-topology #fundamental-groups #compact-manifolds
141
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how to prove the fundamental group isomorphic?

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#algebraic-topology #fundamental-groups
267
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Prove the fundamental group of A is trivial $A= \{(x,y,z)\mid z \geq 0 \} \backslash \{(x,y,z)\mid y=0, 0 \leq z \leq 1 \}$

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#general-topology #algebraic-topology #fundamental-groups
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Confusion about free homotopy, based homotopy and homotopy groups

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#homotopy-theory #fundamental-groups #higher-homotopy-groups
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$\pi_{1}({\mathbb R}^{2} - {\mathbb Q}^{2})$ is uncountable

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#algebraic-topology #fundamental-groups

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