Parametrized spaces model locally constant homotopy sheaves

Michael A. Shulman

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Parametrized spaces model locally constant homotopy sheaves

机译：参数化空间模拟局部恒定同伦滑轮

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摘要

We prove that the homotopy theory of parametrized spaces embeds fully and faithfully in the homotopy theory of simplicial presheaves, and that its essential image consists of the locally homotopically constant objects. This gives a homotopy-theoretic vers

机译：我们证明了参数化空间的同伦理论完全和忠实地嵌入了简单先发纹的同伦理论中，并且其基本图像由局部同位常数对象组成。这给出了同伦理论

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来源
《Topology and its applications》 |2008年第5期|p.412-432|共21页
作者
Michael A. Shulman;
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作者单位

Department of Mathematics, University of Chicago, 5734 S. University Ave, Chicago, IL 60615, USA;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
parametrized spaces; ex-spaces; homotopy sheaves; simplicial presheaves; model category; right quillen embedding; fibration; base change;

机译：参数化空间;ex-空间;同态滑轮;单纯预滑轮;模型类别;右被窝嵌入;纤维化;基变;

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6. HOMOLOGY AND HOMOTOPY OF H-SPACES [O] . William Browder 1960

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7. Parametrized spaces model locally constant homotopy sheaves [O] . Shulman Michael A. 2008

机译：参数化空间模拟局部恒定的同伦滑轮

Parametrized spaces model locally constant homotopy sheaves

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