A model for function spaces: TACT 2012

J.-B. Gatsinzi

doi:10.1016/j.topol.2014.02.021

A model for function spaces: TACT 2012

Research output: Contribution to journal › Article › peer-review

Abstract

Let f:X→Y be a map between simply connected spaces and f¯:L(V)→L(W) its Quillen model. If the differential on L(V) has only linear and quadratic parts, we show that there is a Lie algebra structure on HomTV(TV⊗(Q⊕sV),L(W)), making of it a Lie model of the function space map(X,Y;f).

Original language	English
Pages (from-to)	153-158
Number of pages	6
Journal	Topology and its Applications
Volume	168
DOIs	https://doi.org/10.1016/j.topol.2014.02.021
Publication status	Published - 2014

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10.1016/j.topol.2014.02.021

http://www.sciencedirect.com/science/article/pii/S0166864114000819

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title = "A model for function spaces: TACT 2012",

abstract = "Let f:X→Y be a map between simply connected spaces and f¯:L(V)→L(W) its Quillen model. If the differential on L(V) has only linear and quadratic parts, we show that there is a Lie algebra structure on HomTV(TV⊗(Q⊕sV),L(W)), making of it a Lie model of the function space map(X,Y;f).",

author = "J.-B. Gatsinzi",

year = "2014",

doi = "10.1016/j.topol.2014.02.021",

language = "English",

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journal = "Topology and its Applications",

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AU - Gatsinzi, J.-B.

PY - 2014

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AB - Let f:X→Y be a map between simply connected spaces and f¯:L(V)→L(W) its Quillen model. If the differential on L(V) has only linear and quadratic parts, we show that there is a Lie algebra structure on HomTV(TV⊗(Q⊕sV),L(W)), making of it a Lie model of the function space map(X,Y;f).

U2 - 10.1016/j.topol.2014.02.021

DO - 10.1016/j.topol.2014.02.021

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SN - 0166-8641

VL - 168

SP - 153

EP - 158

JO - Topology and its Applications

JF - Topology and its Applications

ER -

A model for function spaces: TACT 2012

Abstract

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