In this weeks parsha of Vayeira, I counted 6 references to the words דלת and פתח, all in the story of Lot and Sodom. I don't believe this is a coincidence, since its all about standing in the door, opening the door, closing the door, all of which is irrelevant information. It must be teaching something.
Genesis 19: 6-11
ו וַיֵּצֵא אֲלֵהֶם לוֹט, הַפֶּתְחָה; וְהַדֶּלֶת, סָגַר אַחֲרָיו. 6 And Lot went out unto them to the door, and shut the door after him.
ז וַיֹּאמַר: אַל-נָא אַחַי, תָּרֵעוּ. 7 And he said: 'I pray you, my brethren, do not so wickedly.
8 ח הִנֵּה-נָא לִי שְׁתֵּי בָנוֹת, אֲשֶׁר לֹא-יָדְעוּ אִישׁ--אוֹצִיאָה-נָּא אֶתְהֶן אֲלֵיכֶם, וַעֲשׂוּ לָהֶן כַּטּוֹב בְּעֵינֵיכֶם; רַק לָאֲנָשִׁים הָאֵל, אַל-תַּעֲשׂוּ דָבָר, כִּי-עַל-כֵּן בָּאוּ, בְּצֵל קֹרָתִי. Behold now, I have two daughters that have not known man; let me, I pray you, bring them out unto you, and do ye to them as is good in your eyes; only unto these men do nothing; forasmuch as they are come under the shadow of my roof.'
ט וַיֹּאמְרוּ גֶּשׁ-הָלְאָה, וַיֹּאמְרוּ הָאֶחָד בָּא-לָגוּר וַיִּשְׁפֹּט שָׁפוֹט--עַתָּה, נָרַע לְךָ מֵהֶם; וַיִּפְצְרוּ בָאִישׁ בְּלוֹט מְאֹד, וַיִּגְּשׁוּ לִשְׁבֹּר הַדָּלֶת. 9 And they said: 'Stand back.' And they said: 'This one fellow came in to sojourn, and he will needs play the judge; now will we deal worse with thee, than with them.' And they pressed sore upon the man, even Lot, and drew near to break the door.
י וַיִּשְׁלְחוּ הָאֲנָשִׁים אֶת-יָדָם, וַיָּבִיאוּ אֶת-לוֹט אֲלֵיהֶם הַבָּיְתָה; וְאֶת-הַדֶּלֶת, סָגָרוּ. 10 But the men put forth their hand, and brought Lot into the house to them, and the door they shut.
יא וְאֶת-הָאֲנָשִׁים אֲשֶׁר-פֶּתַח הַבַּיִת, הִכּוּ בַּסַּנְוֵרִים, מִקָּטֹן, וְעַד-גָּדוֹל; וַיִּלְאוּ, לִמְצֹא הַפָּתַח. 11 And they smote the men that were at the door of the house with blindness, both small and great; so that they wearied themselves to find the door.
An even bigger mystery is the corresponding haftarah in 2 Kings Chapter 4 made 5 references to the words דלת, פתח, (in reference to closing a door:) סגור.
What is the significance of this?