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15
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Homotopy sequence of a weak fibration with a section

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#algebraic-topology #homotopy-theory #exact-sequence #higher-homotopy-groups
78
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Fundamental group of cyclic group $Z_n$

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#algebraic-topology #homotopy-theory #fundamental-groups
77
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Homology of the torus from the axioms

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#algebraic-topology #homology-cohomology #homotopy-theory
29
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What is the relation between Segal Objects and the Lawvere Theory of Commutative Monoids

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#abstract-algebra #algebraic-topology #category-theory #homotopy-theory #monoid
58
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What's the Lurie's tensor product of dg categories?

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#homotopy-theory #higher-category-theory
51
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Let $M$ be manifold and $p_i,q_i$ be finite points. If $v_i\in T_{p_i}M$, $w_i\in T_{q_i}M$ then there is an isotopy $H$ with $DH_1|_{p_i}(v_i) = w_i$

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#manifolds #differential-topology #homotopy-theory
24
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Group actions on smash products

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#homotopy-theory #k-theory
65
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How will the map be described?

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups #free-product
49
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Is openness crucial in Puppe's proof of the Blakers-Massey Theorem?

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#algebraic-topology #homotopy-theory #higher-homotopy-groups
86
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Cobordism Hypothesis in dimension 1

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#category-theory #homotopy-theory #higher-category-theory #topological-quantum-field-theory
52
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Homotopy orbits

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#homotopy-theory #simplicial-stuff #higher-category-theory
74
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Sanity Check: Monoids as Algebras over an Operad

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#category-theory #homotopy-theory #higher-category-theory #operads
128
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Plus construction on Simplicial Sets?

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#algebraic-topology #category-theory #homotopy-theory #simplicial-stuff #algebraic-k-theory
32
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When will a cofibration be a principal cofibration?

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#homotopy-theory #cofibrations
52
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Showing that a simplicial map in McCarthy's paper on additivity is a homotopy equivalence

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#category-theory #homotopy-theory #simplicial-stuff

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